12749721600 has 936 divisors, whose sum is σ = 54034388800. Its totient is φ = 2649292800.

The previous prime is 12749721547. The next prime is 12749721619. The reversal of 12749721600 is 612794721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1159065595 + ... + 1159065605.

Almost surely, 2^12749721600 is an apocalyptic number.

12749721600 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 12749721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27017194400).

12749721600 is an abundant number, since it is smaller than the sum of its proper divisors (41284667200).

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

12749721600 is an equidigital number, since it uses as much as digits as its factorization.

12749721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 12749721600 in words is "twelve billion, seven hundred forty-nine million, seven hundred twenty-one thousand, six hundred".