111123792 has 160 divisors (see below), whose sum is σ = 351644160. Its totient is φ = 33384960.

The previous prime is 111123791. The next prime is 111123797. The reversal of 111123792 is 297321111.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111123791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263742 + ... + 264162.

It is an arithmetic number, because the mean of its divisors is an integer number (2197776).

Almost surely, 2^111123792 is an apocalyptic number.

111123792 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 111123792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175822080).

111123792 is an abundant number, since it is smaller than the sum of its proper divisors (240520368).

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

111123792 is a wasteful number, since it uses less digits than its factorization.

111123792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 111123792 is about 10541.5270241080. The cubic root of 111123792 is about 480.7681450800.

The spelling of 111123792 in words is "one hundred eleven million, one hundred twenty-three thousand, seven hundred ninety-two".