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22120220110122 = 2341316611576891
BaseRepresentation
bin1010000011110010000111…
…10111001010110100101010
32220022200011011122201110000
411001321003313022310222
510344404202322010442
6115013515553203430
74442063450424561
oct501710367126452
986280134581400
1022120220110122
117059150640a32
122593068b60576
13c45c0a50b034
145668a538cbd8
152855e72e6d4c
hex141e43dcad2a

22120220110122 has 80 divisors (see below), whose sum is σ = 50019632381664. Its totient is φ = 7306046748000.

The previous prime is 22120220110031. The next prime is 22120220110127. The reversal of 22120220110122 is 22101102202122.

It is a happy number.

22120220110122 is a `hidden beast` number, since 2 + 212 + 0 + 220 + 110 + 122 = 666.

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 = 22120220110095 and 22120220110104.

It is not an unprimeable number, because it can be changed into a prime (22120220110127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13239297 + ... + 14816187.

Almost surely, 222120220110122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120220110122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25009816190832).

22120220110122 is an abundant number, since it is smaller than the sum of its proper divisors (27899412271542).

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

22120220110122 is a wasteful number, since it uses less digits than its factorization.

22120220110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577697 (or 1577688 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22120220110122 its reverse (22101102202122), we get a palindrome (44221322312244).

The spelling of 22120220110122 in words is "twenty-two trillion, one hundred twenty billion, two hundred twenty million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 393 661 786 1179 1322 1983 2358 3537 3966 5949 7074 10611 11898 17847 21222 35694 53541 86591 107082 173182 259773 519546 779319 1558638 1576891 2337957 3153782 4675914 4730673 7013871 9461346 14027742 14192019 28384038 42576057 85152114 127728171 206572721 255456342 413145442 619718163 1042324951 1239436326 1859154489 2084649902 3126974853 3718308978 5577463467 6253949706 9380924559 11154926934 16732390401 18761849118 28142773677 33464780802 56285547354 84428321031 136544568581 168856642062 273089137162 409633705743 819267411486 1228901117229 2457802234458 3686703351687 7373406703374 11060110055061 22120220110122