12650400 has 216 divisors, whose sum is σ = 51184224. Its totient is φ = 2880000.

The previous prime is 12650369. The next prime is 12650413. The reversal of 12650400 is 405621.

It is a happy number.

12650400 is a `hidden beast` number, since 1 + 265 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50275 + ... + 50525.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^12650400 is an apocalyptic number.

12650400 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 12650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112).

12650400 is an abundant number, since it is smaller than the sum of its proper divisors (38533824).

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

12650400 is a wasteful number, since it uses less digits than its factorization.

12650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12650400 is about 3556.7400804669. The cubic root of 12650400 is about 233.0065266151.

It can be divided in two parts, 126 and 50400, that multiplied together give a square (6350400 = 2520²).

The spelling of 12650400 in words is "twelve million, six hundred fifty thousand, four hundred".