111249619934112 has 576 divisors, whose sum is σ = 366545484264960. Its totient is φ = 32899876531200.

The previous prime is 111249619934093. The next prime is 111249619934149. The reversal of 111249619934112 is 211439916942111.

111249619934112 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 4 + 9 + 619 + 9 + 3 + 4 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4520308687 + ... + 4520333297.

It is an arithmetic number, because the mean of its divisors is an integer number (636363687960).

Almost surely, 2^{111249619934112} is an apocalyptic number.

111249619934112 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 111249619934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183272742132480).

111249619934112 is an abundant number, since it is smaller than the sum of its proper divisors (255295864330848).

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

111249619934112 is a wasteful number, since it uses less digits than its factorization.

111249619934112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25919 (or 25899 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The spelling of 111249619934112 in words is "one hundred eleven trillion, two hundred forty-nine billion, six hundred nineteen million, nine hundred thirty-four thousand, one hundred twelve".