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122233120020 = 2232511122950231
BaseRepresentation
bin111000111010110101…
…0010110010100010100
3102200111122011212021100
41301311222112110110
54000313134320040
6132053023550100
711555023243254
oct1616552262424
9380448155240
10122233120020
1147925456260
121b83375b330
13b6aca43b6b
145cb7b65964
1532a6065b30
hex1c75a96514

122233120020 has 144 divisors (see below), whose sum is σ = 404817678720. Its totient is φ = 29607571200.

The previous prime is 122233120003. The next prime is 122233120049. The reversal of 122233120020 is 20021332221.

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 = 122233119975 and 122233120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2408305 + ... + 2458535.

It is an arithmetic number, because the mean of its divisors is an integer number (2811233880).

Almost surely, 2122233120020 is an apocalyptic number.

122233120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122233120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202408839360).

122233120020 is an abundant number, since it is smaller than the sum of its proper divisors (282584558700).

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

122233120020 is a wasteful number, since it uses less digits than its factorization.

122233120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51486 (or 51481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122233120020 its reverse (20021332221), we get a palindrome (142254452241).

The spelling of 122233120020 in words is "one hundred twenty-two billion, two hundred thirty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1229 1980 2458 3687 4916 6145 7374 11061 12290 13519 14748 18435 22122 24580 27038 36870 40557 44244 50231 54076 55305 67595 73740 81114 100462 110610 121671 135190 150693 162228 200924 202785 221220 243342 251155 270380 301386 405570 452079 486684 502310 552541 602772 608355 753465 811140 904158 1004620 1105082 1216710 1506930 1657623 1808316 2210164 2260395 2433420 2762705 3013860 3315246 4520790 4972869 5525410 6630492 8288115 9041580 9945738 11050820 16576230 19891476 24864345 33152460 49728690 61733899 99457380 123467798 185201697 246935596 308669495 370403394 555605091 617338990 679072889 740806788 926008485 1111210182 1234677980 1358145778 1852016970 2037218667 2222420364 2716291556 2778025455 3395364445 3704033940 4074437334 5556050910 6111656001 6790728890 8148874668 10186093335 11112101820 12223312002 13581457780 20372186670 24446624004 30558280005 40744373340 61116560010 122233120020