120100312011012 has 96 divisors (see below), whose sum is σ = 294699283372032. Its totient is φ = 38020010345856.

The previous prime is 120100312011007. The next prime is 120100312011073. The reversal of 120100312011012 is 210110213001021.

120100312011012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120100312010982 and 120100312011000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26274603 + ... + 30505005.

It is an arithmetic number, because the mean of its divisors is an integer number (3069784201792).

Almost surely, 2^{120100312011012} is an apocalyptic number.

120100312011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120100312011012 is an abundant number, since it is smaller than the sum of its proper divisors (174598971361020).

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

120100312011012 is a wasteful number, since it uses less digits than its factorization.

120100312011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231977 (or 4231975 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 120100312011012 its reverse (210110213001021), we get a palindrome (330210525012033).

Subtracting 120100312011012 from its reverse (210110213001021), we obtain a palindrome (90009900990009).

The spelling of 120100312011012 in words is "one hundred twenty trillion, one hundred billion, three hundred twelve million, eleven thousand, twelve".