12126724160 has 112 divisors (see below), whose sum is σ = 31138611840. Its totient is φ = 4483215360.

The previous prime is 12126724153. The next prime is 12126724193. The reversal of 12126724160 is 6142762121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224957 + ... + 273603.

It is an arithmetic number, because the mean of its divisors is an integer number (278023320).

Almost surely, 2^12126724160 is an apocalyptic number.

12126724160 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 12126724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15569305920).

12126724160 is an abundant number, since it is smaller than the sum of its proper divisors (19011887680).

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

12126724160 is a wasteful number, since it uses less digits than its factorization.

12126724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48724 (or 48714 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 12126724160 in words is "twelve billion, one hundred twenty-six million, seven hundred twenty-four thousand, one hundred sixty".