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12155225261022 = 233577859454151
BaseRepresentation
bin1011000011100001101111…
…1000100100001111011110
31121001000202112210101021000
42300320123320210033132
53043122400131323042
641504011114051130
72363120545655634
oct260703370441736
947030675711230
1012155225261022
113967002856998
121443920419aa6
136a230468ab6c
1430045d30b354
151612ba60074c
hexb0e1be243de

12155225261022 has 64 divisors (see below), whose sum is σ = 27089985139200. Its totient is φ = 4040002137600.

The previous prime is 12155225260967. The next prime is 12155225261029. The reversal of 12155225261022 is 22016252255121.

12155225261022 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 5 + 22 + 526 + 102 + 2 = 666.

It is a super-2 number, since 2×121552252610222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12155225261029) 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 31 ways as a sum of consecutive naturals, for example, 26537647 + ... + 26991797.

It is an arithmetic number, because the mean of its divisors is an integer number (423281017800).

Almost surely, 212155225261022 is an apocalyptic number.

12155225261022 is an abundant number, since it is smaller than the sum of its proper divisors (14934759878178).

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

12155225261022 is a wasteful number, since it uses less digits than its factorization.

12155225261022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455598 (or 455592 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 12155225261022 in words is "twelve trillion, one hundred fifty-five billion, two hundred twenty-five million, two hundred sixty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 577 859 1154 1718 1731 2577 3462 5154 5193 7731 10386 15462 15579 23193 31158 46386 454151 495643 908302 991286 1362453 1486929 2724906 2973858 4087359 4460787 8174718 8921574 12262077 13382361 24524154 26764722 262045127 390115709 524090254 780231418 786135381 1170347127 1572270762 2340694254 2358406143 3511041381 4716812286 7022082762 7075218429 10533124143 14150436858 21066248286 225096764093 450193528186 675290292279 1350580584558 2025870876837 4051741753674 6077612630511 12155225261022