111919272192 has 864 divisors, whose sum is σ = 417839385600. Its totient is φ = 28017819648.

The previous prime is 111919272191. The next prime is 111919272211. The reversal of 111919272192 is 291272919111.

111919272192 is a `hidden beast` number, since 1 + 1 + 191 + 9 + 272 + 192 = 666.

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 (111919272191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480340108 + ... + 480340340.

It is an arithmetic number, because the mean of its divisors is an integer number (483610400).

Almost surely, 2^111919272192 is an apocalyptic number.

111919272192 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 111919272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208919692800).

111919272192 is an abundant number, since it is smaller than the sum of its proper divisors (305920113408).

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

111919272192 is a wasteful number, since it uses less digits than its factorization.

111919272192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its digits is 40824, while the sum is 45.

The spelling of 111919272192 in words is "one hundred eleven billion, nine hundred nineteen million, two hundred seventy-two thousand, one hundred ninety-two".