12630540800 has 240 divisors, whose sum is σ = 32677075200. Its totient is φ = 4832870400.

The previous prime is 12630540799. The next prime is 12630540809. The reversal of 12630540800 is 804503621.

It is not an unprimeable number, because it can be changed into a prime (12630540809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55155086 + ... + 55155314.

It is an arithmetic number, because the mean of its divisors is an integer number (136154480).

Almost surely, 2^12630540800 is an apocalyptic number.

12630540800 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 12630540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338537600).

12630540800 is an abundant number, since it is smaller than the sum of its proper divisors (20046534400).

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

12630540800 is a wasteful number, since it uses less digits than its factorization.

12630540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 12630540800 in words is "twelve billion, six hundred thirty million, five hundred forty thousand, eight hundred".