120031832457216 has 405 divisors, whose sum is σ = 351415847862261. Its totient is φ = 39479118004224.

The previous prime is 120031832457193. The next prime is 120031832457223. The reversal of 120031832457216 is 612754238130021.

The square root of 120031832457216 is 10955904.

It is a perfect power (a square), and thus also a powerful number.

120031832457216 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 3 + 183 + 2 + 457 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20688670310400 + 99343162146816 = 4548480^2 + 9967104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 433327914870 + ... + 433327915146.

Almost surely, 2^{120031832457216} is an apocalyptic number.

120031832457216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120031832457216 is the 10955904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120031832457216

120031832457216 is an abundant number, since it is smaller than the sum of its proper divisors (231384015405045).

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

120031832457216 is an frugal number, since it uses more digits than its factorization.

120031832457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 120031832457216 in words is "one hundred twenty trillion, thirty-one billion, eight hundred thirty-two million, four hundred fifty-seven thousand, two hundred sixteen".