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12130132096 = 27372561261
BaseRepresentation
bin10110100110000001…
…10010000010000000
31011022100222120000201
423103000302002000
5144320303211341
65323354454544
7606411264415
oct132300620200
934270876021
1012130132096
115165163865
122426434454
1311b40c8474
1483101410c
154aedc8331
hex2d3032080

12130132096 has 32 divisors (see below), whose sum is σ = 24818628780. Its totient is φ = 5901143040.

The previous prime is 12130132067. The next prime is 12130132097. The reversal of 12130132096 is 69023103121.

It can be written as a sum of positive squares in 2 ways, for example, as 12129938496 + 193600 = 110136^2 + 440^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (12130132097) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1275895 + ... + 1285366.

Almost surely, 212130132096 is an apocalyptic number.

12130132096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12130132096 is an abundant number, since it is smaller than the sum of its proper divisors (12688496684).

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

12130132096 is an equidigital number, since it uses as much as digits as its factorization.

12130132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561312 (or 2561300 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 12130132096 in words is "twelve billion, one hundred thirty million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 2561261 5122522 10245044 20490088 40980176 81960352 94766657 163920704 189533314 327841408 379066628 758133256 1516266512 3032533024 6065066048 12130132096