12329291520 has 864 divisors, whose sum is σ = 55354790400. Its totient is φ = 2460450816.

The previous prime is 12329291479. The next prime is 12329291543. The reversal of 12329291520 is 2519292321.

12329291520 is a `hidden beast` number, since 1 + 23 + 29 + 2 + 91 + 520 = 666.

It is a super-2 number, since 2×12329291520² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19917771 + ... + 19918389.

Almost surely, 2^12329291520 is an apocalyptic number.

12329291520 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 12329291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27677395200).

12329291520 is an abundant number, since it is smaller than the sum of its proper divisors (43025498880).

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

12329291520 is a wasteful number, since it uses less digits than its factorization.

12329291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12329291520 in words is "twelve billion, three hundred twenty-nine million, two hundred ninety-one thousand, five hundred twenty".