12607617600 has 378 divisors, whose sum is σ = 46570308434. Its totient is φ = 3359232000.

The previous prime is 12607617593. The next prime is 12607617611. The reversal of 12607617600 is 671670621.

It can be written as a sum of positive squares in 3 ways, for example, as 185177664 + 12422439936 = 13608^2 + 111456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10497000 + ... + 10498200.

Almost surely, 2^12607617600 is an apocalyptic number.

12607617600 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 12607617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23285154217).

12607617600 is an abundant number, since it is smaller than the sum of its proper divisors (33962690834).

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

12607617600 is an frugal number, since it uses more digits than its factorization.

12607617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12607617600 in words is "twelve billion, six hundred seven million, six hundred seventeen thousand, six hundred".