12136405624364 has 144 divisors (see below), whose sum is σ = 26540944254720. Its totient is φ = 4827200676480.

The previous prime is 12136405624339. The next prime is 12136405624379. The reversal of 12136405624364 is 46342650463121.

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, 41365247 + ... + 41657609.

It is an arithmetic number, because the mean of its divisors is an integer number (184312112880).

Almost surely, 2^{12136405624364} is an apocalyptic number.

12136405624364 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 12136405624364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13270472127360).

12136405624364 is an abundant number, since it is smaller than the sum of its proper divisors (14404538630356).

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

12136405624364 is a wasteful number, since it uses less digits than its factorization.

12136405624364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292628 (or 292619 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 12136405624364 in words is "twelve trillion, one hundred thirty-six billion, four hundred five million, six hundred twenty-four thousand, three hundred sixty-four".