12630900 has 72 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 3315200.

The previous prime is 12630869. The next prime is 12630913. The reversal of 12630900 is 903621.

12630900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21004 + ... + 21596.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^12630900 is an apocalyptic number.

12630900 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 12630900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

12630900 is an abundant number, since it is smaller than the sum of its proper divisors (24491724).

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

12630900 is a wasteful number, since it uses less digits than its factorization.

12630900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 12630900 is about 3553.9977490145. The cubic root of 12630900 is about 232.8867421586.

It can be divided in two parts, 12630 and 900, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 12630900 in words is "twelve million, six hundred thirty thousand, nine hundred".