12612400 has 30 divisors (see below), whose sum is σ = 30302252. Its totient is φ = 5044800.

The previous prime is 12612367. The next prime is 12612407. The reversal of 12612400 is 421621.

12612400 = T₂₃ + T₂₄ + ... + T₄₂₂.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12612407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15366 + ... + 16165.

Almost surely, 2^12612400 is an apocalyptic number.

12612400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12612400 is an abundant number, since it is smaller than the sum of its proper divisors (17689852).

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

12612400 is a wasteful number, since it uses less digits than its factorization.

12612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31549 (or 31538 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12612400 is about 3551.3940924657. The cubic root of 12612400 is about 232.7729864775.

The spelling of 12612400 in words is "twelve million, six hundred twelve thousand, four hundred".