12406800 has 180 divisors, whose sum is σ = 46450896. Its totient is φ = 2822400.

The previous prime is 12406799. The next prime is 12406811. The reversal of 12406800 is 860421.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58695 + ... + 58905.

Almost surely, 2^12406800 is an apocalyptic number.

12406800 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 12406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23225448).

12406800 is an abundant number, since it is smaller than the sum of its proper divisors (34044096).

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

12406800 is a wasteful number, since it uses less digits than its factorization.

12406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12406800 is about 3522.3287751146. The cubic root of 12406800 is about 231.5012074133.

The spelling of 12406800 in words is "twelve million, four hundred six thousand, eight hundred".