2232122112 has 216 divisors, whose sum is σ = 7265316240. Its totient is φ = 652861440.

The previous prime is 2232122111. The next prime is 2232122149. The reversal of 2232122112 is 2112212322.

It is a super-3 number, since 3×2232122112³ (a number of 29 digits) contains 333 as substring.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2232122111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733458 + ... + 736494.

Almost surely, 2^2232122112 is an apocalyptic number.

2232122112 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 2232122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632658120).

2232122112 is an abundant number, since it is smaller than the sum of its proper divisors (5033194128).

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

2232122112 is a wasteful number, since it uses less digits than its factorization.

2232122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3082 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2232122112 is about 47245.3395796876. The cubic root of 2232122112 is about 1306.8908477405.

Adding to 2232122112 its reverse (2112212322), we get a palindrome (4344334434).

The spelling of 2232122112 in words is "two billion, two hundred thirty-two million, one hundred twenty-two thousand, one hundred twelve".