12135038976 has 252 divisors, whose sum is σ = 36674854272. Its totient is φ = 4013162496.

The previous prime is 12135038891. The next prime is 12135039011. The reversal of 12135038976 is 67983053121.

12135038976 is a `hidden beast` number, since 1 + 213 + 50 + 389 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 95551425 + ... + 95551551.

It is an arithmetic number, because the mean of its divisors is an integer number (145535136).

Almost surely, 2^12135038976 is an apocalyptic number.

12135038976 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 12135038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18337427136).

12135038976 is an abundant number, since it is smaller than the sum of its proper divisors (24539815296).

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

12135038976 is an frugal number, since it uses more digits than its factorization.

12135038976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12135038976 in words is "twelve billion, one hundred thirty-five million, thirty-eight thousand, nine hundred seventy-six".