12632924160 has 224 divisors, whose sum is σ = 44918254080. Its totient is φ = 3368484864.

The previous prime is 12632924153. The next prime is 12632924167. The reversal of 12632924160 is 6142923621.

It is a happy number.

12632924160 is a `hidden beast` number, since 1 + 2 + 632 + 9 + 2 + 4 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12632924153) and next prime (12632924167).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12632924167) by changing a digit.

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, 1100209 + ... + 1111631.

It is an arithmetic number, because the mean of its divisors is an integer number (200527920).

Almost surely, 2^12632924160 is an apocalyptic number.

12632924160 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 12632924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22459127040).

12632924160 is an abundant number, since it is smaller than the sum of its proper divisors (32285329920).

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

12632924160 is an equidigital number, since it uses as much as digits as its factorization.

12632924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11463 (or 11433 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12632924160 in words is "twelve billion, six hundred thirty-two million, nine hundred twenty-four thousand, one hundred sixty".