120210013033000 has 256 divisors, whose sum is σ = 312166860595200. Its totient is φ = 42960281760000.

The previous prime is 120210013032959. The next prime is 120210013033079. The reversal of 120210013033000 is 330310012021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317457781 + ... + 317836219.

It is an arithmetic number, because the mean of its divisors is an integer number (1219401799200).

Almost surely, 2^{120210013033000} is an apocalyptic number.

120210013033000 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 120210013033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156083430297600).

120210013033000 is an abundant number, since it is smaller than the sum of its proper divisors (191956847562200).

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

120210013033000 is a wasteful number, since it uses less digits than its factorization.

120210013033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378969 (or 378955 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120210013033000 its reverse (330310012021), we get a palindrome (120540323045021).

The spelling of 120210013033000 in words is "one hundred twenty trillion, two hundred ten billion, thirteen million, thirty-three thousand".