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12351768012 = 2232343104667
BaseRepresentation
bin10111000000011100…
…10000010111001100
31011212211000211100100
423200032100113030
5200244023034022
65401353131100
7615042203313
oct134016202714
934784024310
1012351768012
115269284141
1224886b9a90
13121acb968c
1485262927a
154c45a81ac
hex2e03905cc

12351768012 has 18 divisors (see below), whose sum is σ = 31222524788. Its totient is φ = 4117255992.

The previous prime is 12351767971. The next prime is 12351768133. The reversal of 12351768012 is 21086715321.

12351768012 is a `hidden beast` number, since 123 + 517 + 6 + 8 + 0 + 12 = 666.

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

It is a super-3 number, since 3×123517680123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 343104667 = 12351768012 / (1 + 2 + 3 + 5 + 1 + 7 + 6 + 8 + 0 + 1 + 2).

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, 171552298 + ... + 171552369.

Almost surely, 212351768012 is an apocalyptic number.

12351768012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12351768012 is an abundant number, since it is smaller than the sum of its proper divisors (18870756776).

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

12351768012 is a wasteful number, since it uses less digits than its factorization.

12351768012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343104677 (or 343104672 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12351768012 in words is "twelve billion, three hundred fifty-one million, seven hundred sixty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 343104667 686209334 1029314001 1372418668 2058628002 3087942003 4117256004 6175884006 12351768012