112121220090 has 256 divisors, whose sum is σ = 302666803200. Its totient is φ = 26355840000.

The previous prime is 112121220089. The next prime is 112121220103. The reversal of 112121220090 is 90022121211.

It is a Curzon number.

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, 531380085 + ... + 531380295.

It is an arithmetic number, because the mean of its divisors is an integer number (1182292200).

Almost surely, 2^112121220090 is an apocalyptic number.

112121220090 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 112121220090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151333401600).

112121220090 is an abundant number, since it is smaller than the sum of its proper divisors (190545583110).

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

112121220090 is a wasteful number, since it uses less digits than its factorization.

112121220090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 112121220090 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, ninety".