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12105872475012 = 2232336274235417
BaseRepresentation
bin1011000000101001111000…
…1110101000001110000100
31120212022101001211002022200
42300022132032220032010
53041320311323200022
641425205552354500
72356422543134301
oct260123616501604
946768331732280
1012105872475012
11394808745a338
121436248245a30
1369a76aa37cc4
142dbcda9340a8
1515ed7c9a2bac
hexb029e3a8384

12105872475012 has 18 divisors (see below), whose sum is σ = 30600955423038. Its totient is φ = 4035290824992.

The previous prime is 12105872475007. The next prime is 12105872475023. The reversal of 12105872475012 is 21057427850121.

12105872475012 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 587 + 2 + 4 + 7 + 50 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9434824851456 + 2671047623556 = 3071616^2 + 1634334^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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, 168137117673 + ... + 168137117744.

Almost surely, 212105872475012 is an apocalyptic number.

12105872475012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12105872475012 is an abundant number, since it is smaller than the sum of its proper divisors (18495082948026).

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

12105872475012 is a wasteful number, since it uses less digits than its factorization.

12105872475012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336274235427 (or 336274235422 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 12105872475012 in words is "twelve trillion, one hundred five billion, eight hundred seventy-two million, four hundred seventy-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 336274235417 672548470834 1008822706251 1345096941668 2017645412502 3026468118753 4035290825004 6052936237506 12105872475012