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12106296288 = 25344670639
BaseRepresentation
bin10110100011001011…
…10110101111100000
31011020201010120110000
423101211312233200
5144243202440123
65321143540000
7606001551312
oct132145665740
934221116400
1012106296288
115152763649
12241a45a600
1311ac1a1138
1482bbab7b2
154acc6ab43
hex2d1976be0

12106296288 has 60 divisors (see below), whose sum is σ = 35604288720. Its totient is φ = 4035431232.

The previous prime is 12106296281. The next prime is 12106296299. The reversal of 12106296288 is 88269260121.

12106296288 is a `hidden beast` number, since 1 + 2 + 10 + 6 + 2 + 9 + 628 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106296281) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2332728 + ... + 2337911.

It is an arithmetic number, because the mean of its divisors is an integer number (593404812).

Almost surely, 212106296288 is an apocalyptic number.

12106296288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12106296288 is an abundant number, since it is smaller than the sum of its proper divisors (23497992432).

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

12106296288 is an equidigital number, since it uses as much as digits as its factorization.

12106296288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670661 (or 4670644 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12106296288 in words is "twelve billion, one hundred six million, two hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4670639 9341278 14011917 18682556 28023834 37365112 42035751 56047668 74730224 84071502 112095336 126107253 149460448 168143004 224190672 252214506 336286008 378321759 448381344 504429012 672572016 756643518 1008858024 1345144032 1513287036 2017716048 3026574072 4035432096 6053148144 12106296288