120312112400000 has 96 divisors (see below), whose sum is σ = 299586184280460. Its totient is φ = 48124844800000.

The previous prime is 120312112399951. The next prime is 120312112400009. The reversal of 120312112400000 is 4211213021.

It can be written as a sum of positive squares in 6 ways, for example, as 5836321559104 + 114475790840896 = 2415848^2 + 10699336^2 .

It is not an unprimeable number, because it can be changed into a prime (120312112400009) 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, 149990141 + ... + 150790140.

Almost surely, 2^{120312112400000} is an apocalyptic number.

120312112400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120312112400000 is an abundant number, since it is smaller than the sum of its proper divisors (179274071880460).

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

120312112400000 is an frugal number, since it uses more digits than its factorization.

120312112400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300780320 (or 300780288 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 120312112400000 its reverse (4211213021), we get a palindrome (120316323613021).

The spelling of 120312112400000 in words is "one hundred twenty trillion, three hundred twelve billion, one hundred twelve million, four hundred thousand".