12329241340032 has 96 divisors (see below), whose sum is σ = 35737645149180. Its totient is φ = 4079748907008.

The previous prime is 12329241339991. The next prime is 12329241340037. The reversal of 12329241340032 is 23004314292321.

12329241340032 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 9 + 241 + 3 + 400 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12040511363136 + 288729976896 = 3469944^2 + 537336^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12329241340032² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12329241340037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38902273 + ... + 39217920.

Almost surely, 2^{12329241340032} is an apocalyptic number.

12329241340032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12329241340032 is an abundant number, since it is smaller than the sum of its proper divisors (23408403809148).

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

12329241340032 is a wasteful number, since it uses less digits than its factorization.

12329241340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78120350 (or 78120335 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 12329241340032 in words is "twelve trillion, three hundred twenty-nine billion, two hundred forty-one million, three hundred forty thousand, thirty-two".