12374400 has 96 divisors (see below), whose sum is σ = 40789800. Its totient is φ = 3297280.

The previous prime is 12374393. The next prime is 12374407. The reversal of 12374400 is 447321.

It is an interprime number because it is at equal distance from previous prime (12374393) and next prime (12374407).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12374407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8956 + ... + 10244.

Almost surely, 2^12374400 is an apocalyptic number.

12374400 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 12374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20394900).

12374400 is an abundant number, since it is smaller than the sum of its proper divisors (28415400).

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

12374400 is a wasteful number, since it uses less digits than its factorization.

12374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 12374400 is about 3517.7265385473. The cubic root of 12374400 is about 231.2995121644.

The spelling of 12374400 in words is "twelve million, three hundred seventy-four thousand, four hundred".