12472800 has 72 divisors (see below), whose sum is σ = 40606776. Its totient is φ = 3325440.

The previous prime is 12472799. The next prime is 12472807. The reversal of 12472800 is 827421.

12472800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12472807) 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, 199 + ... + 4998.

It is an arithmetic number, because the mean of its divisors is an integer number (563983).

Almost surely, 2^12472800 is an apocalyptic number.

12472800 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 12472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303388).

12472800 is an abundant number, since it is smaller than the sum of its proper divisors (28133976).

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

12472800 is a wasteful number, since it uses less digits than its factorization.

12472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5220 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12472800 is about 3531.6851501797. The cubic root of 12472800 is about 231.9109844788.

The spelling of 12472800 in words is "twelve million, four hundred seventy-two thousand, eight hundred".