12600400 has 90 divisors (see below), whose sum is σ = 32452970. Its totient is φ = 4700160.

The previous prime is 12600373. The next prime is 12600403. The reversal of 12600400 is 400621.

It can be written as a sum of positive squares in 9 ways, for example, as 238144 + 12362256 = 488^2 + 3516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12600403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115546 + ... + 115654.

Almost surely, 2^12600400 is an apocalyptic number.

12600400 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 12600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226485).

12600400 is an abundant number, since it is smaller than the sum of its proper divisors (19852570).

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

12600400 is a wasteful number, since it uses less digits than its factorization.

12600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12600400 is about 3549.7042130296. The cubic root of 12600400 is about 232.6991395177.

The spelling of 12600400 in words is "twelve million, six hundred thousand, four hundred".