12137729760 has 144 divisors (see below), whose sum is σ = 44606225664. Its totient is φ = 2987744256.

The previous prime is 12137729707. The next prime is 12137729761. The reversal of 12137729760 is 6792773121.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137729761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305472 + ... + 342911.

It is an arithmetic number, because the mean of its divisors is an integer number (309765456).

Almost surely, 2^12137729760 is an apocalyptic number.

12137729760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12137729760 is an abundant number, since it is smaller than the sum of its proper divisors (32468495904).

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

12137729760 is a wasteful number, since it uses less digits than its factorization.

12137729760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648417 (or 648406 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 12137729760 in words is "twelve billion, one hundred thirty-seven million, seven hundred twenty-nine thousand, seven hundred sixty".