2211332112 has 90 divisors (see below), whose sum is σ = 6802463486. Its totient is φ = 670095360.

The previous prime is 2211332111. The next prime is 2211332113. The reversal of 2211332112 is 2112331122.

2211332112 is a `hidden beast` number, since 221 + 1 + 332 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (2211332111) and next prime (2211332113).

It can be written as a sum of positive squares in only one way, i.e., 2171187216 + 40144896 = 46596^2 + 6336^2 .

It is a super-3 number, since 3×2211332112³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211332111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46033 + ... + 80880.

Almost surely, 2^2211332112 is an apocalyptic number.

2211332112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2211332112 is an abundant number, since it is smaller than the sum of its proper divisors (4591131374).

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

2211332112 is a wasteful number, since it uses less digits than its factorization.

2211332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126949 (or 126929 counting only the distinct ones).

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

The square root of 2211332112 is about 47024.8031574828. The cubic root of 2211332112 is about 1302.8207217592.

Adding to 2211332112 its reverse (2112331122), we get a palindrome (4323663234).

The spelling of 2211332112 in words is "two billion, two hundred eleven million, three hundred thirty-two thousand, one hundred twelve".