12221802946080 has 1152 divisors, whose sum is σ = 52871652288000. Its totient is φ = 2554422829056.

The previous prime is 12221802946079. The next prime is 12221802946117. The reversal of 12221802946080 is 8064920812221.

12221802946080 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 18 + 0 + 29 + 4 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 687033826 + ... + 687051614.

It is an arithmetic number, because the mean of its divisors is an integer number (45895531500).

Almost surely, 2^{12221802946080} is an apocalyptic number.

12221802946080 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 12221802946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26435826144000).

12221802946080 is an abundant number, since it is smaller than the sum of its proper divisors (40649849341920).

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

12221802946080 is a wasteful number, since it uses less digits than its factorization.

12221802946080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17951 (or 17926 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12221802946080 in words is "twelve trillion, two hundred twenty-one billion, eight hundred two million, nine hundred forty-six thousand, eighty".