12396900 has 108 divisors (see below), whose sum is σ = 37924656. Its totient is φ = 3124800.

The previous prime is 12396889. The next prime is 12396907. The reversal of 12396900 is 969321.

12396900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12396900² = 307366259220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12396907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288279 + ... + 288321.

Almost surely, 2^12396900 is an apocalyptic number.

12396900 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 12396900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962328).

12396900 is an abundant number, since it is smaller than the sum of its proper divisors (25527756).

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

12396900 is a wasteful number, since it uses less digits than its factorization.

12396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 12396900 is about 3520.9231743962. The cubic root of 12396900 is about 231.4396156029.

The spelling of 12396900 in words is "twelve million, three hundred ninety-six thousand, nine hundred".