12372805632 has 384 divisors, whose sum is σ = 38848118400. Its totient is φ = 3489136640.

The previous prime is 12372805573. The next prime is 12372805637. The reversal of 12372805632 is 23650827321.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (12372805637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139020244 + ... + 139020332.

It is an arithmetic number, because the mean of its divisors is an integer number (101166975).

Almost surely, 2^12372805632 is an apocalyptic number.

12372805632 is a gapful number since it is divisible by the number (12) 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 12372805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19424059200).

12372805632 is an abundant number, since it is smaller than the sum of its proper divisors (26475312768).

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

12372805632 is an equidigital number, since it uses as much as digits as its factorization.

12372805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 12372805632 in words is "twelve billion, three hundred seventy-two million, eight hundred five thousand, six hundred thirty-two".