120001012112 has 20 divisors (see below), whose sum is σ = 232682374860. Its totient is φ = 59953947648.

The previous prime is 120001012111. The next prime is 120001012129. The reversal of 120001012112 is 211210100021.

It can be written as a sum of positive squares in 2 ways, for example, as 42619125136 + 77381886976 = 206444^2 + 278176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120001012093 and 120001012102.

It is not an unprimeable number, because it can be changed into a prime (120001012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2888633 + ... + 2929880.

It is an arithmetic number, because the mean of its divisors is an integer number (11634118743).

Almost surely, 2^120001012112 is an apocalyptic number.

It is an amenable number.

120001012112 is a deficient number, since it is larger than the sum of its proper divisors (112681362748).

120001012112 is a wasteful number, since it uses less digits than its factorization.

120001012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819810 (or 5819804 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120001012112 its reverse (211210100021), we get a palindrome (331211112133).

The spelling of 120001012112 in words is "one hundred twenty billion, one million, twelve thousand, one hundred twelve".