12932286120 has 512 divisors, whose sum is σ = 49106534400. Its totient is φ = 3004646400.

The previous prime is 12932286119. The next prime is 12932286149. The reversal of 12932286120 is 2168223921.

It is a happy number.

12932286120 is a `hidden beast` number, since 1 + 2 + 9 + 32 + 2 + 8 + 612 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 18714975 + ... + 18715665.

It is an arithmetic number, because the mean of its divisors is an integer number (95911200).

Almost surely, 2^12932286120 is an apocalyptic number.

12932286120 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 12932286120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24553267200).

12932286120 is an abundant number, since it is smaller than the sum of its proper divisors (36174248280).

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

12932286120 is a wasteful number, since it uses less digits than its factorization.

12932286120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12932286120 in words is "twelve billion, nine hundred thirty-two million, two hundred eighty-six thousand, one hundred twenty".