112201220221120 has 224 divisors, whose sum is σ = 272583449792640. Its totient is φ = 43978514595840.

The previous prime is 112201220221037. The next prime is 112201220221127. The reversal of 112201220221120 is 21122022102211.

It is a super-2 number, since 2×112201220221120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112201220221127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6501771532 + ... + 6501788788.

It is an arithmetic number, because the mean of its divisors is an integer number (1216890400860).

Almost surely, 2^{112201220221120} is an apocalyptic number.

112201220221120 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 112201220221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136291724896320).

112201220221120 is an abundant number, since it is smaller than the sum of its proper divisors (160382229571520).

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

112201220221120 is a wasteful number, since it uses less digits than its factorization.

112201220221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18571 (or 18561 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 112201220221120 its reverse (21122022102211), we get a palindrome (133323242323331).

The spelling of 112201220221120 in words is "one hundred twelve trillion, two hundred one billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".