112201221990 has 128 divisors (see below), whose sum is σ = 316522225152. Its totient is φ = 25095121920.

The previous prime is 112201221989. The next prime is 112201221991. The reversal of 112201221990 is 99122102211.

It is an interprime number because it is at equal distance from previous prime (112201221989) and next prime (112201221991).

It is a super-2 number, since 2×112201221990² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201221991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10191829 + ... + 10202831.

It is an arithmetic number, because the mean of its divisors is an integer number (2472829884).

Almost surely, 2^112201221990 is an apocalyptic number.

112201221990 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 112201221990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158261112576).

112201221990 is an abundant number, since it is smaller than the sum of its proper divisors (204321003162).

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

112201221990 is a wasteful number, since it uses less digits than its factorization.

112201221990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13414.

The product of its (nonzero) digits is 1296, while the sum is 30.

It can be divided in two parts, 112201221 and 990, that added together give a palindrome (112202211).

The spelling of 112201221990 in words is "one hundred twelve billion, two hundred one million, two hundred twenty-one thousand, nine hundred ninety".