12992400 has 150 divisors (see below), whose sum is σ = 46744962. Its totient is φ = 3456000.

The previous prime is 12992381. The next prime is 12992411. The reversal of 12992400 is 429921.

12992400 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 4064256 + 8928144 = 2016^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32200 + ... + 32600.

Almost surely, 2^12992400 is an apocalyptic number.

12992400 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 12992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372481).

12992400 is an abundant number, since it is smaller than the sum of its proper divisors (33752562).

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

12992400 is a wasteful number, since it uses less digits than its factorization.

12992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12992400 is about 3604.4971910101. The cubic root of 12992400 is about 235.0876389589.

It can be divided in two parts, 129 and 92400, that added together give a palindrome (92529).

The spelling of 12992400 in words is "twelve million, nine hundred ninety-two thousand, four hundred".