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12107990112 = 2533741711171
BaseRepresentation
bin10110100011011000…
…10100010001100000
31011020211022121221020
423101230110101200
5144244121140422
65321244125440
7606022134501
oct132154242140
934224277836
1012107990112
1151537101a9
12241ab36880
1311ac6450ba
1482c0ccba8
154acea295c
hex2d1b14460

12107990112 has 192 divisors, whose sum is σ = 33938569728. Its totient is φ = 3773952000.

The previous prime is 12107990047. The next prime is 12107990123. The reversal of 12107990112 is 21109970121.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10339287 + ... + 10340457.

It is an arithmetic number, because the mean of its divisors is an integer number (176763384).

Almost surely, 212107990112 is an apocalyptic number.

12107990112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12107990112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969284864).

12107990112 is an abundant number, since it is smaller than the sum of its proper divisors (21830579616).

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

12107990112 is a wasteful number, since it uses less digits than its factorization.

12107990112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 33.

The spelling of 12107990112 in words is "twelve billion, one hundred seven million, nine hundred ninety thousand, one hundred twelve".