12037137829920 has 864 divisors, whose sum is σ = 48810191189760. Its totient is φ = 2692790231040.

The previous prime is 12037137829901. The next prime is 12037137829961. The reversal of 12037137829920 is 2992873173021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 674756361 + ... + 674774199.

It is an arithmetic number, because the mean of its divisors is an integer number (56493276840).

Almost surely, 2^{12037137829920} is an apocalyptic number.

12037137829920 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 12037137829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24405095594880).

12037137829920 is an abundant number, since it is smaller than the sum of its proper divisors (36773053359840).

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

12037137829920 is a wasteful number, since it uses less digits than its factorization.

12037137829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18078 (or 18060 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12037137829920 in words is "twelve trillion, thirty-seven billion, one hundred thirty-seven million, eight hundred twenty-nine thousand, nine hundred twenty".