112022111112090 has 256 divisors, whose sum is σ = 294517373552640. Its totient is φ = 27156556062720.

The previous prime is 112022111112089. The next prime is 112022111112113. The reversal of 112022111112090 is 90211111220211.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112022111112090.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3854973981 + ... + 3855003039.

It is an arithmetic number, because the mean of its divisors is an integer number (1150458490440).

Almost surely, 2^{112022111112090} is an apocalyptic number.

112022111112090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022111112090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147258686776320).

112022111112090 is an abundant number, since it is smaller than the sum of its proper divisors (182495262440550).

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

112022111112090 is a wasteful number, since it uses less digits than its factorization.

112022111112090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30957.

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 112022111112090 in words is "one hundred twelve trillion, twenty-two billion, one hundred eleven million, one hundred twelve thousand, ninety".