12220273352112 has 320 divisors, whose sum is σ = 36461016345600. Its totient is φ = 3454798233600.

The previous prime is 12220273352101. The next prime is 12220273352137. The reversal of 12220273352112 is 21125337202221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11649449764 + ... + 11649450812.

It is an arithmetic number, because the mean of its divisors is an integer number (113940676080).

Almost surely, 2^{12220273352112} is an apocalyptic number.

12220273352112 is a gapful number since it is divisible by the number (12) 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 12220273352112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230508172800).

12220273352112 is an abundant number, since it is smaller than the sum of its proper divisors (24240742993488).

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

12220273352112 is a wasteful number, since it uses less digits than its factorization.

12220273352112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 12220273352112 in words is "twelve trillion, two hundred twenty billion, two hundred seventy-three million, three hundred fifty-two thousand, one hundred twelve".