12136372706040 has 256 divisors, whose sum is σ = 39952605888000. Its totient is φ = 2924896942080.

The previous prime is 12136372705981. The next prime is 12136372706041. The reversal of 12136372706040 is 4060727363121.

12136372706040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12136372705983 and 12136372706001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12136372706041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165785766 + ... + 165858954.

It is an arithmetic number, because the mean of its divisors is an integer number (156064866750).

Almost surely, 2^{12136372706040} is an apocalyptic number.

12136372706040 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 12136372706040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19976302944000).

12136372706040 is an abundant number, since it is smaller than the sum of its proper divisors (27816233181960).

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

12136372706040 is a wasteful number, since it uses less digits than its factorization.

12136372706040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73950 (or 73946 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 12136372706040 in words is "twelve trillion, one hundred thirty-six billion, three hundred seventy-two million, seven hundred six thousand, forty".