112225772120 has 192 divisors, whose sum is σ = 323678376000. Its totient is φ = 34978944000.

The previous prime is 112225772083. The next prime is 112225772123. The reversal of 112225772120 is 21277522211.

112225772120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112225772123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626320 + ... + 1693920.

It is an arithmetic number, because the mean of its divisors is an integer number (1685824875).

Almost surely, 2^112225772120 is an apocalyptic number.

112225772120 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 112225772120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161839188000).

112225772120 is an abundant number, since it is smaller than the sum of its proper divisors (211452603880).

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

112225772120 is a wasteful number, since it uses less digits than its factorization.

112225772120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67655 (or 67626 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The spelling of 112225772120 in words is "one hundred twelve billion, two hundred twenty-five million, seven hundred seventy-two thousand, one hundred twenty".