120733098048 has 448 divisors, whose sum is σ = 389780190720. Its totient is φ = 36490051584.

The previous prime is 120733098023. The next prime is 120733098049. The reversal of 120733098048 is 840890337021.

It is a junction number, because it is equal to n+sod(n) for n = 120733097994 and 120733098012.

It is not an unprimeable number, because it can be changed into a prime (120733098049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122820565 + ... + 122821547.

Almost surely, 2^120733098048 is an apocalyptic number.

120733098048 is a gapful number since it is divisible by the number (18) 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 120733098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194890095360).

120733098048 is an abundant number, since it is smaller than the sum of its proper divisors (269047092672).

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

120733098048 is a wasteful number, since it uses less digits than its factorization.

120733098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 120733098048 in words is "one hundred twenty billion, seven hundred thirty-three million, ninety-eight thousand, forty-eight".