12361894980960 has 576 divisors, whose sum is σ = 45676334108160. Its totient is φ = 2801990983680.

The previous prime is 12361894980959. The next prime is 12361894980961. The reversal of 12361894980960 is 6908949816321.

It is an interprime number because it is at equal distance from previous prime (12361894980959) and next prime (12361894980961).

It is a junction number, because it is equal to n+sod(n) for n = 12361894980891 and 12361894980900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12361894980961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4868803371 + ... + 4868805909.

It is an arithmetic number, because the mean of its divisors is an integer number (79299191160).

Almost surely, 2^{12361894980960} is an apocalyptic number.

12361894980960 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 12361894980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838167054080).

12361894980960 is an abundant number, since it is smaller than the sum of its proper divisors (33314439127200).

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

12361894980960 is a wasteful number, since it uses less digits than its factorization.

12361894980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 66.

The spelling of 12361894980960 in words is "twelve trillion, three hundred sixty-one billion, eight hundred ninety-four million, nine hundred eighty thousand, nine hundred sixty".