12570400 has 72 divisors (see below), whose sum is σ = 32341680. Its totient is φ = 4757760.

The previous prime is 12570391. The next prime is 12570403. The reversal of 12570400 is 407521.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (12570403) 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, 14787 + ... + 15613.

It is an arithmetic number, because the mean of its divisors is an integer number (449190).

Almost surely, 2^12570400 is an apocalyptic number.

12570400 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 12570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170840).

12570400 is an abundant number, since it is smaller than the sum of its proper divisors (19771280).

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

12570400 is a wasteful number, since it uses less digits than its factorization.

12570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 12570400 is about 3545.4759906111. The cubic root of 12570400 is about 232.5143167659.

Adding to 12570400 its reverse (407521), we get a palindrome (12977921).

The spelling of 12570400 in words is "twelve million, five hundred seventy thousand, four hundred".