112112311332 has 192 divisors, whose sum is σ = 311540318208. Its totient is φ = 30706128000.

The previous prime is 112112311321. The next prime is 112112311361. The reversal of 112112311332 is 233113211211.

It is a super-2 number, since 2×112112311332² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112112311299 and 112112311308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214363623 + ... + 214364145.

It is an arithmetic number, because the mean of its divisors is an integer number (1622605824).

Almost surely, 2^112112311332 is an apocalyptic number.

112112311332 is a gapful number since it is divisible by the number (12) 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 112112311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155770159104).

112112311332 is an abundant number, since it is smaller than the sum of its proper divisors (199428006876).

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

112112311332 is a wasteful number, since it uses less digits than its factorization.

112112311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1188 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 112112311332 its reverse (233113211211), we get a palindrome (345225522543).

The spelling of 112112311332 in words is "one hundred twelve billion, one hundred twelve million, three hundred eleven thousand, three hundred thirty-two".