12561814400 has 96 divisors (see below), whose sum is σ = 31339657080. Its totient is φ = 4974848000.

The previous prime is 12561814381. The next prime is 12561814423. The reversal of 12561814400 is 441816521.

It is a super-3 number, since 3×12561814400³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303767 + ... + 342633.

Almost surely, 2^12561814400 is an apocalyptic number.

12561814400 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 12561814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15669828540).

12561814400 is an abundant number, since it is smaller than the sum of its proper divisors (18777842680).

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

12561814400 is a wasteful number, since it uses less digits than its factorization.

12561814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38992 (or 38975 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 12561814400 in words is "twelve billion, five hundred sixty-one million, eight hundred fourteen thousand, four hundred".