12962400 has 144 divisors (see below), whose sum is σ = 46122048. Its totient is φ = 3136000.

The previous prime is 12962377. The next prime is 12962419. The reversal of 12962400 is 426921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 26155 + ... + 26645.

It is an arithmetic number, because the mean of its divisors is an integer number (320292).

Almost surely, 2^12962400 is an apocalyptic number.

12962400 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 12962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23061024).

12962400 is an abundant number, since it is smaller than the sum of its proper divisors (33159648).

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

12962400 is a wasteful number, since it uses less digits than its factorization.

12962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12962400 is about 3600.3333179027. Note that the first 4 decimals coincide. The cubic root of 12962400 is about 234.9065570850.

The spelling of 12962400 in words is "twelve million, nine hundred sixty-two thousand, four hundred".