12615238080 has 336 divisors, whose sum is σ = 45862244064. Its totient is φ = 3299512320.

The previous prime is 12615238063. The next prime is 12615238121. The reversal of 12615238080 is 8083251621.

It is a happy number.

12615238080 is a `hidden beast` number, since 1 + 2 + 615 + 2 + 38 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4119750 + ... + 4122810.

It is an arithmetic number, because the mean of its divisors is an integer number (136494774).

Almost surely, 2^12615238080 is an apocalyptic number.

12615238080 is a gapful number since it is divisible by the number (10) 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 12615238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22931122032).

12615238080 is an abundant number, since it is smaller than the sum of its proper divisors (33247005984).

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

12615238080 is an equidigital number, since it uses as much as digits as its factorization.

12615238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12615238080 in words is "twelve billion, six hundred fifteen million, two hundred thirty-eight thousand, eighty".