12056946326880 has 1728 divisors, whose sum is σ = 50537122050240. Its totient is φ = 2393126830080.

The previous prime is 12056946326857. The next prime is 12056946326903. The reversal of 12056946326880 is 8862364965021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12056946326857) and next prime (12056946326903).

It is a super-4 number, since 4×12056946326880⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10871907766 + ... + 10871908874.

It is an arithmetic number, because the mean of its divisors is an integer number (29246019705).

Almost surely, 2^{12056946326880} is an apocalyptic number.

12056946326880 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 12056946326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25268561025120).

12056946326880 is an abundant number, since it is smaller than the sum of its proper divisors (38480175723360).

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

12056946326880 is a wasteful number, since it uses less digits than its factorization.

12056946326880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 12056946326880 in words is "twelve trillion, fifty-six billion, nine hundred forty-six million, three hundred twenty-six thousand, eight hundred eighty".