12138400 has 36 divisors (see below), whose sum is σ = 29634822. Its totient is φ = 4855040.

The previous prime is 12138389. The next prime is 12138409. The reversal of 12138400 is 483121.

12138400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11209104 + 929296 = 3348^2 + 964^2 .

It is not an unprimeable number, because it can be changed into a prime (12138409) 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, 6787 + ... + 8386.

Almost surely, 2^12138400 is an apocalyptic number.

12138400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12138400 is an abundant number, since it is smaller than the sum of its proper divisors (17496422).

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

12138400 is a wasteful number, since it uses less digits than its factorization.

12138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15193 (or 15180 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 12138400 is about 3484.0206658400. The cubic root of 12138400 is about 229.8196443695.

The spelling of 12138400 in words is "twelve million, one hundred thirty-eight thousand, four hundred".