112201212210120 has 192 divisors, whose sum is σ = 403741676370240. Its totient is φ = 26794319270400.

The previous prime is 112201212210107. The next prime is 112201212210127. The reversal of 112201212210120 is 21012212102211.

112201212210120 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 212 + 210 + 1 + 20 = 666.

It is a super-2 number, since 2×112201212210120² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112201212210093 and 112201212210102.

It is not an unprimeable number, because it can be changed into a prime (112201212210127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211179751 + ... + 211710390.

It is an arithmetic number, because the mean of its divisors is an integer number (2102821231095).

Almost surely, 2^{112201212210120} is an apocalyptic number.

112201212210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112201212210120 is an abundant number, since it is smaller than the sum of its proper divisors (291540464160120).

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

112201212210120 is a wasteful number, since it uses less digits than its factorization.

112201212210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422890236 (or 422890229 counting only the distinct ones).

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

Adding to 112201212210120 its reverse (21012212102211), we get a palindrome (133213424312331).

The spelling of 112201212210120 in words is "one hundred twelve trillion, two hundred one billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".