12114976896 has 672 divisors, whose sum is σ = 42258768300. Its totient is φ = 3448811520.

The previous prime is 12114976877. The next prime is 12114976903. The reversal of 12114976896 is 69867941121.

12114976896 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 497 + 68 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11431886400 + 683090496 = 106920^2 + 26136^2 .

It is a super-5 number, since 5×12114976896⁵ (a number of 52 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 83 ways as a sum of consecutive naturals, for example, 327431790 + ... + 327431826.

Almost surely, 2^12114976896 is an apocalyptic number.

12114976896 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 12114976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21129384150).

12114976896 is an abundant number, since it is smaller than the sum of its proper divisors (30143791404).

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

12114976896 is an equidigital number, since it uses as much as digits as its factorization.

12114976896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 12114976896 in words is "twelve billion, one hundred fourteen million, nine hundred seventy-six thousand, eight hundred ninety-six".