112002220120 has 96 divisors (see below), whose sum is σ = 294265493280. Its totient is φ = 37583516160.

The previous prime is 112002220081. The next prime is 112002220157. The reversal of 112002220120 is 21022200211.

It is a happy number.

112002220120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 112002220120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527980 + ... + 709060.

It is an arithmetic number, because the mean of its divisors is an integer number (3065265555).

Almost surely, 2^112002220120 is an apocalyptic number.

112002220120 is a gapful number since it is divisible by the number (10) 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 112002220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147132746640).

112002220120 is an abundant number, since it is smaller than the sum of its proper divisors (182263273160).

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

112002220120 is a wasteful number, since it uses less digits than its factorization.

112002220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181193 (or 181142 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112002220120 its reverse (21022200211), we get a palindrome (133024420331).

The spelling of 112002220120 in words is "one hundred twelve billion, two million, two hundred twenty thousand, one hundred twenty".