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12048557222088 = 2332167341072529
BaseRepresentation
bin1010111101010100010111…
…1110010010100011001000
31120122211102200001120012100
42233111011332102203020
53034400421122101323
641343010351513400
72352323323414452
oct257250576224310
946584380046170
1012048557222088
1139258454a0512
121427111528860
13695235583a6a
142d92208632d2
1515d625cc0943
hexaf545f928c8

12048557222088 has 24 divisors (see below), whose sum is σ = 32631509143350. Its totient is φ = 4016185740672.

The previous prime is 12048557222059. The next prime is 12048557222101. The reversal of 12048557222088 is 88022275584021.

12048557222088 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 8 + 557 + 2 + 2 + 2 + 0 + 88 = 666.

12048557222088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8959617400644 + 3088939821444 = 2993262^2 + 1757538^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×120485572220882 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83670536193 + ... + 83670536336.

Almost surely, 212048557222088 is an apocalyptic number.

12048557222088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12048557222088 is an abundant number, since it is smaller than the sum of its proper divisors (20582951921262).

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

12048557222088 is a wasteful number, since it uses less digits than its factorization.

12048557222088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167341072541 (or 167341072534 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 12048557222088 in words is "twelve trillion, forty-eight billion, five hundred fifty-seven million, two hundred twenty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167341072529 334682145058 502023217587 669364290116 1004046435174 1338728580232 1506069652761 2008092870348 3012139305522 4016185740696 6024278611044 12048557222088