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12167162120 = 2351519320021
BaseRepresentation
bin10110101010011100…
…00010100100001000
31011101221122212200002
423111032002210020
5144404243141440
65331200302132
7610341112601
oct132516024410
934357585602
1012167162120
115184055a93
122436911948
1311bb992219
14835cd2da8
154b3290115
hex2d5382908

12167162120 has 32 divisors (see below), whose sum is σ = 27379284120. Its totient is φ = 4866301440.

The previous prime is 12167162101. The next prime is 12167162129. The reversal of 12167162120 is 2126176121.

It can be written as a sum of positive squares in 4 ways, for example, as 10112715844 + 2054446276 = 100562^2 + 45326^2 .

It is not an unprimeable number, because it can be changed into a prime (12167162129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597710 + ... + 617730.

Almost surely, 212167162120 is an apocalyptic number.

12167162120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12167162120 is an abundant number, since it is smaller than the sum of its proper divisors (15212122000).

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

12167162120 is a wasteful number, since it uses less digits than its factorization.

12167162120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35225 (or 35221 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 12167162120 in words is "twelve billion, one hundred sixty-seven million, one hundred sixty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 15193 20021 30386 40042 60772 75965 80084 100105 121544 151930 160168 200210 303860 400420 607720 800840 304179053 608358106 1216716212 1520895265 2433432424 3041790530 6083581060 12167162120