12220031122312 has 128 divisors (see below), whose sum is σ = 27036340380000. Its totient is φ = 5123520331776.

The previous prime is 12220031122279. The next prime is 12220031122357. The reversal of 12220031122312 is 21322113002221.

12220031122312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 6287425860676 + 5932605261636 = 2507474^2 + 2435694^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162443364 + ... + 162518572.

Almost surely, 2^{12220031122312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220031122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518170190000).

12220031122312 is an abundant number, since it is smaller than the sum of its proper divisors (14816309257688).

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

12220031122312 is a wasteful number, since it uses less digits than its factorization.

12220031122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78443 (or 78439 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12220031122312 its reverse (21322113002221), we get a palindrome (33542144124533).

The spelling of 12220031122312 in words is "twelve trillion, two hundred twenty billion, thirty-one million, one hundred twenty-two thousand, three hundred twelve".