12372860160 has 216 divisors, whose sum is σ = 44395434720. Its totient is φ = 3299346432.

The previous prime is 12372860131. The next prime is 12372860167. The reversal of 12372860160 is 6106827321.

12372860160 is a `hidden beast` number, since 1 + 23 + 7 + 28 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×12372860160³ (a number of 31 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (12372860167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291151 + ... + 330929.

It is an arithmetic number, because the mean of its divisors is an integer number (205534420).

Almost surely, 2^12372860160 is an apocalyptic number.

12372860160 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 12372860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197717360).

12372860160 is an abundant number, since it is smaller than the sum of its proper divisors (32022574560).

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

12372860160 is an frugal number, since it uses more digits than its factorization.

12372860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39815 (or 39789 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12372860160 in words is "twelve billion, three hundred seventy-two million, eight hundred sixty thousand, one hundred sixty".