2011322111232 has 144 divisors (see below), whose sum is σ = 6121089226112. Its totient is φ = 574351810560.

The previous prime is 2011322111191. The next prime is 2011322111233. The reversal of 2011322111232 is 2321112231102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2011322111199 and 2011322111208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011322111233) 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, 9904218 + ... + 10105254.

Almost surely, 2^{2011322111232} 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 2011322111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060544613056).

2011322111232 is an abundant number, since it is smaller than the sum of its proper divisors (4109767114880).

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

2011322111232 is a wasteful number, since it uses less digits than its factorization.

2011322111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202924 (or 202910 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2011322111232 its reverse (2321112231102), we get a palindrome (4332434342334).

The spelling of 2011322111232 in words is "two trillion, eleven billion, three hundred twenty-two million, one hundred eleven thousand, two hundred thirty-two".