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21212021121120 = 2532595111548793
BaseRepresentation
bin1001101001010110011101…
…11110111110000001100000
32210002211221020000211201100
410310223032332332001200
510240014204401333440
6113040400141034400
74316342441410164
oct464531676760140
983084836024640
1021212021121120
116838a70a21375
122467046b55a00
13bab392219a5b
1453494b100ca4
1526bb900b5230
hex134acefbe060

21212021121120 has 144 divisors (see below), whose sum is σ = 72393679586592. Its totient is φ = 5655940577280.

The previous prime is 21212021121119. The next prime is 21212021121121. The reversal of 21212021121120 is 2112112021212.

21212021121120 is a `hidden beast` number, since 212 + 12 + 0 + 211 + 211 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (21212021121119) and next prime (21212021121121).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21212021121093 and 21212021121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212021121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12921444 + ... + 14470236.

It is an arithmetic number, because the mean of its divisors is an integer number (502733886018).

Almost surely, 221212021121120 is an apocalyptic number.

21212021121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212021121120 is an abundant number, since it is smaller than the sum of its proper divisors (51181658465472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21212021121120 is a wasteful number, since it uses less digits than its factorization.

21212021121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558325 (or 1558314 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21212021121120 its reverse (2112112021212), we get a palindrome (23324133142332).

The spelling of 21212021121120 in words is "twenty-one trillion, two hundred twelve billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9511 19022 28533 38044 47555 57066 76088 85599 95110 114132 142665 152176 171198 190220 228264 285330 304352 342396 380440 427995 456528 570660 684792 760880 855990 913056 1141320 1369584 1521760 1548793 1711980 2282640 2739168 3097586 3423960 4565280 4646379 6195172 6847920 7743965 9292758 12390344 13695840 13939137 15487930 18585516 23231895 24780688 27878274 30975860 37171032 46463790 49561376 55756548 61951720 69695685 74342064 92927580 111513096 123903440 139391370 148684128 185855160 223026192 247806880 278782740 371710320 446052384 557565480 743420640 1115130960 2230261920 14730570223 29461140446 44191710669 58922280892 73652851115 88383421338 117844561784 132575132007 147305702230 176766842676 220958553345 235689123568 265150264014 294611404460 353533685352 441917106690 471378247136 530300528028 589222808920 662875660035 707067370704 883834213380 1060601056056 1178445617840 1325751320070 1414134741408 1767668426760 2121202112112 2356891235680 2651502640140 3535336853520 4242404224224 5303005280280 7070673707040 10606010560560 21212021121120