12329881600 has 117 divisors (see below), whose sum is σ = 30662738197. Its totient is φ = 4917739520.

The previous prime is 12329881589. The next prime is 12329881691. The reversal of 12329881600 is 618892321.

The square root of 12329881600 is 111040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4438757376 + 7891124224 = 66624^2 + 88832^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35532627 + ... + 35532973.

Almost surely, 2^12329881600 is an apocalyptic number.

12329881600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12329881600 is the 111040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12329881600

12329881600 is an abundant number, since it is smaller than the sum of its proper divisors (18332856597).

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

12329881600 is an frugal number, since it uses more digits than its factorization.

12329881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 12329881600 in words is "twelve billion, three hundred twenty-nine million, eight hundred eighty-one thousand, six hundred".