12901324800 has 864 divisors, whose sum is σ = 53524074240. Its totient is φ = 2683699200.

The previous prime is 12901324783. The next prime is 12901324847. The reversal of 12901324800 is 842310921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181708765 + ... + 181708835.

It is an arithmetic number, because the mean of its divisors is an integer number (61949160).

Almost surely, 2^12901324800 is an apocalyptic number.

12901324800 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 12901324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26762037120).

12901324800 is an abundant number, since it is smaller than the sum of its proper divisors (40622749440).

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

12901324800 is a wasteful number, since it uses less digits than its factorization.

12901324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12901324800 in words is "twelve billion, nine hundred one million, three hundred twenty-four thousand, eight hundred".