12012621264 has 180 divisors, whose sum is σ = 39330027360. Its totient is φ = 3412644480.

The previous prime is 12012621259. The next prime is 12012621293. The reversal of 12012621264 is 46212621021.

12012621264 is a `hidden beast` number, since 1 + 2 + 0 + 12 + 621 + 26 + 4 = 666.

It is a congruent number.

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, 1258269 + ... + 1267779.

It is an arithmetic number, because the mean of its divisors is an integer number (218500152).

Almost surely, 2^12012621264 is an apocalyptic number.

12012621264 is a gapful number since it is divisible by the number (14) 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 12012621264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665013680).

12012621264 is an abundant number, since it is smaller than the sum of its proper divisors (27317406096).

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

12012621264 is a wasteful number, since it uses less digits than its factorization.

12012621264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718 (or 9702 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12012621264 in words is "twelve billion, twelve million, six hundred twenty-one thousand, two hundred sixty-four".