120024820781056 has 117 divisors (see below), whose sum is σ = 243549536379139. Its totient is φ = 59142624665600.

The previous prime is 120024820781053. The next prime is 120024820781143. The reversal of 120024820781056 is 650187028420021.

The square root of 120024820781056 is 10955584.

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

It is a super-2 number, since 2×120024820781056² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120024820780997 and 120024820781015.

It is not an unprimeable number, because it can be changed into a prime (120024820781053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49782172491 + ... + 49782174901.

Almost surely, 2^{120024820781056} is an apocalyptic number.

120024820781056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120024820781056 is the 10955584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120024820781056

120024820781056 is an abundant number, since it is smaller than the sum of its proper divisors (123524715598083).

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

120024820781056 is an frugal number, since it uses more digits than its factorization.

120024820781056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 120024820781056 in words is "one hundred twenty trillion, twenty-four billion, eight hundred twenty million, seven hundred eighty-one thousand, fifty-six".