12600900 has 144 divisors (see below), whose sum is σ = 43747200. Its totient is φ = 3093120.

The previous prime is 12600869. The next prime is 12600901. The reversal of 12600900 is 900621.

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

It is not an unprimeable number, because it can be changed into a prime (12600901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34921 + ... + 35279.

It is an arithmetic number, because the mean of its divisors is an integer number (303800).

Almost surely, 2^12600900 is an apocalyptic number.

12600900 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 12600900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873600).

12600900 is an abundant number, since it is smaller than the sum of its proper divisors (31146300).

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

12600900 is a wasteful number, since it uses less digits than its factorization.

12600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12600900 is about 3549.7746407343. The cubic root of 12600900 is about 232.7022174102.

The spelling of 12600900 in words is "twelve million, six hundred thousand, nine hundred".