120201202121112 has 128 divisors (see below), whose sum is σ = 381794859417600. Its totient is φ = 34324863865344.

The previous prime is 120201202121089. The next prime is 120201202121113. The reversal of 120201202121112 is 211121202102021.

120201202121112 is a `hidden beast` number, since 120 + 201 + 20 + 212 + 1 + 112 = 666.

It is a super-2 number, since 2×120201202121112² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201202121113) 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 31 ways as a sum of consecutive naturals, for example, 18390168 + ... + 24054119.

It is an arithmetic number, because the mean of its divisors is an integer number (2982772339200).

Almost surely, 2^{120201202121112} is an apocalyptic number.

120201202121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120201202121112 is an abundant number, since it is smaller than the sum of its proper divisors (261593657296488).

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

120201202121112 is a wasteful number, since it uses less digits than its factorization.

120201202121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42446182 (or 42446172 counting only the distinct ones).

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

Adding to 120201202121112 its reverse (211121202102021), we get a palindrome (331322404223133).

The spelling of 120201202121112 in words is "one hundred twenty trillion, two hundred one billion, two hundred two million, one hundred twenty-one thousand, one hundred twelve".