12534422400 has 144 divisors (see below), whose sum is σ = 44725794360. Its totient is φ = 3342504960.

The previous prime is 12534422387. The next prime is 12534422437. The reversal of 12534422400 is 422443521.

12534422400 is a `hidden beast` number, since 1 + 253 + 4 + 4 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12534422400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 188812 + ... + 246411.

Almost surely, 2^12534422400 is an apocalyptic number.

12534422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12534422400 is an abundant number, since it is smaller than the sum of its proper divisors (32191371960).

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

12534422400 is a wasteful number, since it uses less digits than its factorization.

12534422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435253 (or 435233 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12534422400 its reverse (422443521), we get a palindrome (12956865921).

The spelling of 12534422400 in words is "twelve billion, five hundred thirty-four million, four hundred twenty-two thousand, four hundred".