120312120031200 has 360 divisors, whose sum is σ = 439797180632040. Its totient is φ = 32007017548800.

The previous prime is 120312120031163. The next prime is 120312120031273. The reversal of 120312120031200 is 2130021213021.

120312120031200 is a `hidden beast` number, since 1 + 2 + 0 + 312 + 120 + 0 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25075731 + ... + 29485869.

It is an arithmetic number, because the mean of its divisors is an integer number (1221658835089).

Almost surely, 2^{120312120031200} is an apocalyptic number.

120312120031200 is a gapful number since it is divisible by the number (10) 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 120312120031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219898590316020).

120312120031200 is an abundant number, since it is smaller than the sum of its proper divisors (319485060600840).

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

120312120031200 is a wasteful number, since it uses less digits than its factorization.

120312120031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410592 (or 4410570 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120312120031200 its reverse (2130021213021), we get a palindrome (122442141244221).

The spelling of 120312120031200 in words is "one hundred twenty trillion, three hundred twelve billion, one hundred twenty million, thirty-one thousand, two hundred".