120491078480000 has 200 divisors, whose sum is σ = 301485391882455. Its totient is φ = 47951779456000.

The previous prime is 120491078479939. The next prime is 120491078480033. The reversal of 120491078480000 is 84870194021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 13 ways, for example, as 5553638971456 + 114937439508544 = 2356616^2 + 10720888^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7761800.

It is a super-2 number, since 2×120491078480000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 611629839902 + ... + 611629840098.

Almost surely, 2^{120491078480000} is an apocalyptic number.

120491078480000 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 120491078480000

120491078480000 is an abundant number, since it is smaller than the sum of its proper divisors (180994313402455).

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

120491078480000 is an frugal number, since it uses more digits than its factorization.

120491078480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 120491078480000 in words is "one hundred twenty trillion, four hundred ninety-one billion, seventy-eight million, four hundred eighty thousand".