120331033231200 has 576 divisors, whose sum is σ = 436966384361472. Its totient is φ = 28511852185600.

The previous prime is 120331033231187. The next prime is 120331033231217. The reversal of 120331033231200 is 2132330133021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 921849139 + ... + 921979661.

It is an arithmetic number, because the mean of its divisors is an integer number (758622195072).

Almost surely, 2^{120331033231200} is an apocalyptic number.

120331033231200 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 120331033231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218483192180736).

120331033231200 is an abundant number, since it is smaller than the sum of its proper divisors (316635351130272).

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

120331033231200 is a wasteful number, since it uses less digits than its factorization.

120331033231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131347 (or 131334 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 120331033231200 its reverse (2132330133021), we get a palindrome (122463363364221).

The spelling of 120331033231200 in words is "one hundred twenty trillion, three hundred thirty-one billion, thirty-three million, two hundred thirty-one thousand, two hundred".