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21212000121120 = 2535199722129027
BaseRepresentation
bin1001101001010110011011…
…01110110111000100100000
32210002211212202111221010120
410310223031232313010200
510240014134012333440
6113040354111000240
74316342065044534
oct464531556670440
983084782457116
1021212000121120
116838a600887a6
12246703bb09080
13bab38aa76413
145349483d5bc4
1526bb8d317dd0
hex134acdbb7120

21212000121120 has 96 divisors (see below), whose sum is σ = 66851262491328. Its totient is φ = 5653700594688.

The previous prime is 21212000121097. The next prime is 21212000121173. The reversal of 21212000121120 is 2112100021212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21212000121120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10105954 + ... + 12023073.

It is an arithmetic number, because the mean of its divisors is an integer number (696367317618).

Almost surely, 221212000121120 is an apocalyptic number.

21212000121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212000121120 is an abundant number, since it is smaller than the sum of its proper divisors (45639262370208).

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

21212000121120 is a wasteful number, since it uses less digits than its factorization.

21212000121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22131042 (or 22131034 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21212000121120 its reverse (2112100021212), we get a palindrome (23324100142332).

The spelling of 21212000121120 in words is "twenty-one trillion, two hundred twelve billion, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1997 3994 5991 7988 9985 11982 15976 19970 23964 29955 31952 39940 47928 59910 63904 79880 95856 119820 159760 191712 239640 319520 479280 958560 22129027 44258054 66387081 88516108 110645135 132774162 177032216 221290270 265548324 331935405 354064432 442580540 531096648 663870810 708128864 885161080 1062193296 1327741620 1770322160 2124386592 2655483240 3540644320 5310966480 10621932960 44191666919 88383333838 132575000757 176766667676 220958334595 265150001514 353533335352 441916669190 530300003028 662875003785 707066670704 883833338380 1060600006056 1325750007570 1414133341408 1767666676760 2121200012112 2651500015140 3535333353520 4242400024224 5303000030280 7070666707040 10606000060560 21212000121120