12630162600 has 768 divisors, whose sum is σ = 51710976000. Its totient is φ = 2807136000.

The previous prime is 12630162583. The next prime is 12630162673. The reversal of 12630162600 is 626103621.

12630162600 = 115³ + 116³ + ... + 474³.

12630162600 is a `hidden beast` number, since 1 + 2 + 6 + 30 + 1 + 626 + 0 + 0 = 666.

12630162600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407424585 + ... + 407424615.

It is an arithmetic number, because the mean of its divisors is an integer number (67332000).

Almost surely, 2^12630162600 is an apocalyptic number.

12630162600 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 12630162600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855488000).

12630162600 is an abundant number, since it is smaller than the sum of its proper divisors (39080813400).

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

12630162600 is a wasteful number, since it uses less digits than its factorization.

12630162600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12630162600 in words is "twelve billion, six hundred thirty million, one hundred sixty-two thousand, six hundred".