12266800 has 120 divisors (see below), whose sum is σ = 36379616. Its totient is φ = 3870720.

The previous prime is 12266791. The next prime is 12266827. The reversal of 12266800 is 866221.

12266800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36232 + ... + 36568.

Almost surely, 2^12266800 is an apocalyptic number.

12266800 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 12266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18189808).

12266800 is an abundant number, since it is smaller than the sum of its proper divisors (24112816).

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

12266800 is a wasteful number, since it uses less digits than its factorization.

12266800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 12266800 is about 3502.3991777066. The cubic root of 12266800 is about 230.6271478662.

The spelling of 12266800 in words is "twelve million, two hundred sixty-six thousand, eight hundred".