12980822400 has 1152 divisors, whose sum is σ = 59253350400. Its totient is φ = 2717245440.

The previous prime is 12980822399. The next prime is 12980822423. The reversal of 12980822400 is 422808921.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102211137 + ... + 102211263.

It is an arithmetic number, because the mean of its divisors is an integer number (51435200).

Almost surely, 2^12980822400 is an apocalyptic number.

12980822400 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 12980822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626675200).

12980822400 is an abundant number, since it is smaller than the sum of its proper divisors (46272528000).

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

12980822400 is a wasteful number, since it uses less digits than its factorization.

12980822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12980822400 in words is "twelve billion, nine hundred eighty million, eight hundred twenty-two thousand, four hundred".