12368900 has 36 divisors (see below), whose sum is σ = 27029520. Its totient is φ = 4912800.

The previous prime is 12368899. The next prime is 12368903. The reversal of 12368900 is 986321.

It is not an unprimeable number, because it can be changed into a prime (12368903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17555 + ... + 18245.

It is an arithmetic number, because the mean of its divisors is an integer number (750820).

Almost surely, 2^12368900 is an apocalyptic number.

12368900 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 12368900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514760).

12368900 is an abundant number, since it is smaller than the sum of its proper divisors (14660620).

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

12368900 is a wasteful number, since it uses less digits than its factorization.

12368900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 12368900 is about 3516.9446967503. The cubic root of 12368900 is about 231.2652388302.

It can be divided in two parts, 12 and 368900, that multiplied together give a triangular number (4426800 = T₂₉₇₅).

The spelling of 12368900 in words is "twelve million, three hundred sixty-eight thousand, nine hundred".