111211322112 has 144 divisors (see below), whose sum is σ = 358769093760. Its totient is φ = 33700377600.

The previous prime is 111211322083. The next prime is 111211322129. The reversal of 111211322112 is 211223112111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 an insolite number, because it is divisible by the sum (32) and by the product (2304) of the squares of its digits.

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, 655314 + ... + 807377.

It is an arithmetic number, because the mean of its divisors is an integer number (2491452040).

Almost surely, 2^111211322112 is an apocalyptic number.

111211322112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111211322112 is an abundant number, since it is smaller than the sum of its proper divisors (247557771648).

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

111211322112 is a wasteful number, since it uses less digits than its factorization.

111211322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462727 (or 1462707 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 111211322112 its reverse (211223112111), we get a palindrome (322434434223).

It can be divided in two parts, 1112113 and 22112, that added together give a square (1134225 = 1065²).

The spelling of 111211322112 in words is "one hundred eleven billion, two hundred eleven million, three hundred twenty-two thousand, one hundred twelve".