2112552112 has 80 divisors (see below), whose sum is σ = 4578456960. Its totient is φ = 936166400.

The previous prime is 2112552049. The next prime is 2112552157.

It is a happy number.

2112552112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359528 + ... + 1361080.

It is an arithmetic number, because the mean of its divisors is an integer number (57230712).

Almost surely, 2^2112552112 is an apocalyptic number.

2112552112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112552112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289228480).

2112552112 is an abundant number, since it is smaller than the sum of its proper divisors (2465904848).

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

2112552112 is a wasteful number, since it uses less digits than its factorization.

2112552112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1756 counting only the distinct ones).

The product of its digits is 400, while the sum is 22.

The square root of 2112552112 is about 45962.5076774538. The cubic root of 2112552112 is about 1283.1255226486.

It can be divided in two parts, 21125 and 52112, that added together give a palindrome (73237).

The spelling of 2112552112 in words is "two billion, one hundred twelve million, five hundred fifty-two thousand, one hundred twelve".