12357065972160 has 5376 divisors, whose sum is σ = 60971829166080. Its totient is φ = 2326798172160.

The previous prime is 12357065972123. The next prime is 12357065972161. The reversal of 12357065972160 is 6127956075321.

It is a happy number.

12357065972160 is a `hidden beast` number, since 1 + 2 + 3 + 570 + 6 + 5 + 9 + 7 + 2 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 12357065972097 and 12357065972106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12357065972161) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 184433820447 + ... + 184433820513.

It is an arithmetic number, because the mean of its divisors is an integer number (11341486080).

Almost surely, 2^{12357065972160} is an apocalyptic number.

12357065972160 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 12357065972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30485914583040).

12357065972160 is an abundant number, since it is smaller than the sum of its proper divisors (48614763193920).

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

12357065972160 is a wasteful number, since it uses less digits than its factorization.

12357065972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 12357065972160 in words is "twelve trillion, three hundred fifty-seven billion, sixty-five million, nine hundred seventy-two thousand, one hundred sixty".