12046884256960 has 224 divisors, whose sum is σ = 34576296445440. Its totient is φ = 3905483931648.

The previous prime is 12046884256943. The next prime is 12046884256961. The reversal of 12046884256960 is 6965248864021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (12046884256961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21988272 + ... + 22529488.

Almost surely, 2^{12046884256960} is an apocalyptic number.

12046884256960 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 12046884256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288148222720).

12046884256960 is an abundant number, since it is smaller than the sum of its proper divisors (22529412188480).

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

12046884256960 is a wasteful number, since it uses less digits than its factorization.

12046884256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541783 (or 541773 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 12046884256960 in words is "twelve trillion, forty-six billion, eight hundred eighty-four million, two hundred fifty-six thousand, nine hundred sixty".