12195774756480 has 2048 divisors, whose sum is σ = 49859297280000. Its totient is φ = 2473111388160.

The previous prime is 12195774756469. The next prime is 12195774756511. The reversal of 12195774756480 is 8465747759121.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45002858745 + ... + 45002859015.

It is an arithmetic number, because the mean of its divisors is an integer number (24345360000).

Almost surely, 2^{12195774756480} is an apocalyptic number.

12195774756480 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 12195774756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24929648640000).

12195774756480 is an abundant number, since it is smaller than the sum of its proper divisors (37663522523520).

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

12195774756480 is a wasteful number, since it uses less digits than its factorization.

12195774756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 66.

The spelling of 12195774756480 in words is "twelve trillion, one hundred ninety-five billion, seven hundred seventy-four million, seven hundred fifty-six thousand, four hundred eighty".