120201031310112 has 36 divisors (see below), whose sum is σ = 341821682788950. Its totient is φ = 40067010436608.

The previous prime is 120201031310111. The next prime is 120201031310167. The reversal of 120201031310112 is 211013130102021.

120201031310112 is a `hidden beast` number, since 1 + 202 + 0 + 10 + 31 + 310 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63571854454416 + 56629176855696 = 7973196^2 + 7525236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×120201031310112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (120201031310111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208682345737 + ... + 208682346312.

Almost surely, 2^{120201031310112} is an apocalyptic number.

120201031310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120201031310112 is an abundant number, since it is smaller than the sum of its proper divisors (221620651478838).

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

120201031310112 is a wasteful number, since it uses less digits than its factorization.

120201031310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417364692065 (or 417364692054 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120201031310112 its reverse (211013130102021), we get a palindrome (331214161412133).

The spelling of 120201031310112 in words is "one hundred twenty trillion, two hundred one billion, thirty-one million, three hundred ten thousand, one hundred twelve".