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22121000202112 = 27753465822949
BaseRepresentation
bin1010000011110011100100…
…10110111110111110000000
32220022202011112112111110221
411001321302112332332000
510344412302022431422
6115014125221232424
74442122002204340
oct501716226767600
986282145474427
1022121000202112
117059510a14659
122593246262714
13c46003010626
1456693ac14d20
15285640a3a3c7
hex141e725bef80

22121000202112 has 64 divisors (see below), whose sum is σ = 51315056172000. Its totient is φ = 9301552625664.

The previous prime is 22121000202097. The next prime is 22121000202113. The reversal of 22121000202112 is 21120200012122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121000202113) 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 7 ways as a sum of consecutive naturals, for example, 232863987 + ... + 232958962.

Almost surely, 222121000202112 is an apocalyptic number.

It is an amenable number.

22121000202112 is an abundant number, since it is smaller than the sum of its proper divisors (29194055969888).

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

22121000202112 is an equidigital number, since it uses as much as digits as its factorization.

22121000202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465823023 (or 465823011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22121000202112 its reverse (21120200012122), we get a palindrome (43241200214234).

The spelling of 22121000202112 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5936 6784 11872 23744 47488 465822949 931645898 1863291796 3260760643 3726583592 6521521286 7453167184 13043042572 14906334368 24688616297 26086085144 29812668736 49377232594 52172170288 59625337472 98754465188 104344340576 172820314079 197508930376 208688681152 345640628158 395017860752 417377362304 691281256316 790035721504 1382562512632 1580071443008 2765125025264 3160142886016 5530250050528 11060500101056 22121000202112