120312233213232 has 320 divisors, whose sum is σ = 340976278978560. Its totient is φ = 36447551078400.

The previous prime is 120312233213209. The next prime is 120312233213267. The reversal of 120312233213232 is 232312332213021.

It is a self number, because there is not a number n which added to its sum of digits gives 120312233213232.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5797331368 + ... + 5797352120.

It is an arithmetic number, because the mean of its divisors is an integer number (1065550871808).

Almost surely, 2^{120312233213232} is an apocalyptic number.

120312233213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120312233213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170488139489280).

120312233213232 is an abundant number, since it is smaller than the sum of its proper divisors (220664045765328).

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

120312233213232 is a wasteful number, since it uses less digits than its factorization.

120312233213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24492 (or 24486 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 120312233213232 its reverse (232312332213021), we get a palindrome (352624565426253).

The spelling of 120312233213232 in words is "one hundred twenty trillion, three hundred twelve billion, two hundred thirty-three million, two hundred thirteen thousand, two hundred thirty-two".