12117690576 has 240 divisors, whose sum is σ = 37934822016. Its totient is φ = 3591143424.

The previous prime is 12117690569. The next prime is 12117690577. The reversal of 12117690576 is 67509671121.

12117690576 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 76 + 9 + 0 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117690577) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4671936 + ... + 4674528.

Almost surely, 2^12117690576 is an apocalyptic number.

12117690576 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 12117690576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18967411008).

12117690576 is an abundant number, since it is smaller than the sum of its proper divisors (25817131440).

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

12117690576 is a wasteful number, since it uses less digits than its factorization.

12117690576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 12117690576 in words is "twelve billion, one hundred seventeen million, six hundred ninety thousand, five hundred seventy-six".