201120221120112 has 240 divisors, whose sum is σ = 662266228915200. Its totient is φ = 55779667891200.

The previous prime is 201120221120099. The next prime is 201120221120113. The reversal of 201120221120112 is 211021122021102.

201120221120112 is a `hidden beast` number, since 201 + 12 + 0 + 221 + 120 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120221120113) 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, 4002964 + ... + 20451507.

It is an arithmetic number, because the mean of its divisors is an integer number (2759442620480).

Almost surely, 2^{201120221120112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201120221120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331133114457600).

201120221120112 is an abundant number, since it is smaller than the sum of its proper divisors (461146007795088).

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

201120221120112 is a wasteful number, since it uses less digits than its factorization.

201120221120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24454732 (or 24454723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201120221120112 its reverse (211021122021102), we get a palindrome (412141343141214).

The spelling of 201120221120112 in words is "two hundred one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twelve".