2113223112 has 384 divisors, whose sum is σ = 7783776000. Its totient is φ = 500152320.

The previous prime is 2113223093. The next prime is 2113223113.

2113223112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (2113223113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7855714 + ... + 7855982.

It is an arithmetic number, because the mean of its divisors is an integer number (20270250).

Almost surely, 2^2113223112 is an apocalyptic number.

2113223112 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 2113223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888000).

2113223112 is an abundant number, since it is smaller than the sum of its proper divisors (5670552888).

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

2113223112 is a wasteful number, since it uses less digits than its factorization.

2113223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2113223112 is about 45969.8065255881. The cubic root of 2113223112 is about 1283.2613593113.

It can be divided in two parts, 21132 and 23112, that added together give a palindrome (44244).

The spelling of 2113223112 in words is "two billion, one hundred thirteen million, two hundred twenty-three thousand, one hundred twelve".