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12042665212104 = 2332167259239057
BaseRepresentation
bin1010111100111110011011…
…0010000011100011001000
31120122021020001012102222100
42233033212302003203020
53034301334243241404
641340153553353400
72352024320230002
oct257174662034310
946567201172870
1012042665212104
1139232a161917a
121425b48268860
13694806998517
142d8c22125372
1515d3cd8b9d39
hexaf3e6c838c8

12042665212104 has 24 divisors (see below), whose sum is σ = 32615551616310. Its totient is φ = 4014221737344.

The previous prime is 12042665212103. The next prime is 12042665212133. The reversal of 12042665212104 is 40121256624021.

12042665212104 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 26 + 6 + 521 + 2 + 104 = 666.

12042665212104 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., 7695064904004 + 4347600308100 = 2773998^2 + 2085090^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12042665212103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83629619457 + ... + 83629619600.

Almost surely, 212042665212104 is an apocalyptic number.

It is an amenable number.

12042665212104 is an abundant number, since it is smaller than the sum of its proper divisors (20572886404206).

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

12042665212104 is a wasteful number, since it uses less digits than its factorization.

12042665212104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167259239069 (or 167259239062 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12042665212104 in words is "twelve trillion, forty-two billion, six hundred sixty-five million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167259239057 334518478114 501777717171 669036956228 1003555434342 1338073912456 1505333151513 2007110868684 3010666303026 4014221737368 6021332606052 12042665212104