2133224223312 has 320 divisors, whose sum is σ = 6902718197760. Its totient is φ = 552655982592.

The previous prime is 2133224223281. The next prime is 2133224223367.

2133224223312 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2133224223312.

It is a congruent number.

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, 493000893 + ... + 493005219.

It is an arithmetic number, because the mean of its divisors is an integer number (21570994368).

Almost surely, 2^{2133224223312} 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 2133224223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451359098880).

2133224223312 is an abundant number, since it is smaller than the sum of its proper divisors (4769493974448).

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

2133224223312 is a wasteful number, since it uses less digits than its factorization.

2133224223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6324 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The spelling of 2133224223312 in words is "two trillion, one hundred thirty-three billion, two hundred twenty-four million, two hundred twenty-three thousand, three hundred twelve".