12372069496320 has 960 divisors, whose sum is σ = 46080498784320. Its totient is φ = 3177607200768.

The previous prime is 12372069496289. The next prime is 12372069496331. The reversal of 12372069496320 is 2369496027321.

12372069496320 is a `hidden beast` number, since 1 + 2 + 3 + 72 + 0 + 69 + 496 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12213296134 + ... + 12213297146.

It is an arithmetic number, because the mean of its divisors is an integer number (48000519567).

Almost surely, 2^{12372069496320} is an apocalyptic number.

12372069496320 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 12372069496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040249392160).

12372069496320 is an abundant number, since it is smaller than the sum of its proper divisors (33708429288000).

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

12372069496320 is an equidigital number, since it uses as much as digits as its factorization.

12372069496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 12372069496320 in words is "twelve trillion, three hundred seventy-two billion, sixty-nine million, four hundred ninety-six thousand, three hundred twenty".