111231223221312 has 84 divisors (see below), whose sum is σ = 318842968492620. Its totient is φ = 37074893847552.

The previous prime is 111231223221263. The next prime is 111231223221319. The reversal of 111231223221312 is 213122322132111.

111231223221312 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 3 + 1 + 22 + 322 + 1 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104465897372736 + 6765325848576 = 10220856^2 + 2601024^2 .

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 (111231223221319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4138678 + ... + 15478730.

Almost surely, 2^{111231223221312} is an apocalyptic number.

111231223221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111231223221312 is an abundant number, since it is smaller than the sum of its proper divisors (207611745271308).

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

111231223221312 is a wasteful number, since it uses less digits than its factorization.

111231223221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11357100 (or 11357087 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 111231223221312 its reverse (213122322132111), we get a palindrome (324353545353423).

The spelling of 111231223221312 in words is "one hundred eleven trillion, two hundred thirty-one billion, two hundred twenty-three million, two hundred twenty-one thousand, three hundred twelve".