2131222221312 has 160 divisors (see below), whose sum is σ = 5888910924864. Its totient is φ = 684361728000.

The previous prime is 2131222221311. The next prime is 2131222221361.

2131222221312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2131222221312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2131222221311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5554387 + ... + 5925677.

Almost surely, 2^{2131222221312} 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 2131222221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944455462432).

2131222221312 is an abundant number, since it is smaller than the sum of its proper divisors (3757688703552).

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

2131222221312 is a wasteful number, since it uses less digits than its factorization.

2131222221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371450 (or 371434 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The spelling of 2131222221312 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, three hundred twelve".