2111332331112 has 128 divisors (see below), whose sum is σ = 5597358120960. Its totient is φ = 662490005760.

The previous prime is 2111332331099. The next prime is 2111332331123.

2111332331112 is nontrivially palindromic in base 10.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134961963 + ... + 134977605.

It is an arithmetic number, because the mean of its divisors is an integer number (43729360320).

Almost surely, 2^{2111332331112} 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 2111332331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798679060480).

2111332331112 is an abundant number, since it is smaller than the sum of its proper divisors (3486025789848).

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

2111332331112 is a wasteful number, since it uses less digits than its factorization.

2111332331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20623 (or 20619 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The spelling of 2111332331112 in words is "two trillion, one hundred eleven billion, three hundred thirty-two million, three hundred thirty-one thousand, one hundred twelve".