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12118087296 = 2735727951
BaseRepresentation
bin10110100100100101…
…10101011010000000
31011021112022121200000
423102102311122000
5144304212243141
65322244400000
7606204020400
oct132222653200
934245277600
1012118087296
115159387387
1224223a6000
1311b176bc73
1482d59a800
154adce95b6
hex2d24b5680

12118087296 has 288 divisors, whose sum is σ = 42071964480. Its totient is φ = 3461875200.

The previous prime is 12118087283. The next prime is 12118087313. The reversal of 12118087296 is 69278081121.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1520121 + ... + 1528071.

It is an arithmetic number, because the mean of its divisors is an integer number (146083210).

Almost surely, 212118087296 is an apocalyptic number.

12118087296 is a gapful number since it is divisible by the number (16) 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 12118087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21035982240).

12118087296 is an abundant number, since it is smaller than the sum of its proper divisors (29953877184).

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

12118087296 is an frugal number, since it uses more digits than its factorization.

12118087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7994 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 12118087296 in words is "twelve billion, one hundred eighteen million, eighty-seven thousand, two hundred ninety-six".