120131101110312 has 48 divisors (see below), whose sum is σ = 325357887192000. Its totient is φ = 40043353085856.

The previous prime is 120131101110311. The next prime is 120131101110313. The reversal of 120131101110312 is 213011101131021.

120131101110312 is a `hidden beast` number, since 1 + 20 + 1 + 311 + 0 + 11 + 10 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (120131101110311) and next prime (120131101110313).

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 (120131101110311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1192239 + ... + 15546177.

It is an arithmetic number, because the mean of its divisors is an integer number (6778289316500).

Almost surely, 2^{120131101110312} is an apocalyptic number.

120131101110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120131101110312 is an abundant number, since it is smaller than the sum of its proper divisors (205226786081688).

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

120131101110312 is a wasteful number, since it uses less digits than its factorization.

120131101110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470190 (or 14470183 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 120131101110312 its reverse (213011101131021), we get a palindrome (333142202241333).

The spelling of 120131101110312 in words is "one hundred twenty trillion, one hundred thirty-one billion, one hundred one million, one hundred ten thousand, three hundred twelve".