12137055912720 has 640 divisors, whose sum is σ = 43042170124800. Its totient is φ = 3142306234368.

The previous prime is 12137055912713. The next prime is 12137055912743. The reversal of 12137055912720 is 2721955073121.

12137055912720 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 70 + 559 + 1 + 2 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9357791112 + ... + 9357792408.

It is an arithmetic number, because the mean of its divisors is an integer number (67253390820).

Almost surely, 2^{12137055912720} is an apocalyptic number.

12137055912720 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 12137055912720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21521085062400).

12137055912720 is an abundant number, since it is smaller than the sum of its proper divisors (30905114212080).

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

12137055912720 is a wasteful number, since it uses less digits than its factorization.

12137055912720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 12137055912720 in words is "twelve trillion, one hundred thirty-seven billion, fifty-five million, nine hundred twelve thousand, seven hundred twenty".