112221110201120 has 96 divisors (see below), whose sum is σ = 266095414494000. Its totient is φ = 44723841888256.

The previous prime is 112221110201077. The next prime is 112221110201159. The reversal of 112221110201120 is 21102011122211.

It can be written as a sum of positive squares in 8 ways, for example, as 8795708651536 + 103425401549584 = 2965756^2 + 10169828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98285666 + ... + 99420894.

Almost surely, 2^{112221110201120} is an apocalyptic number.

112221110201120 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 112221110201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133047707247000).

112221110201120 is an abundant number, since it is smaller than the sum of its proper divisors (153874304292880).

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

112221110201120 is a wasteful number, since it uses less digits than its factorization.

112221110201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137510 (or 1137502 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112221110201120 its reverse (21102011122211), we get a palindrome (133323121323331).

The spelling of 112221110201120 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred ten million, two hundred one thousand, one hundred twenty".