240120133000 has 256 divisors, whose sum is σ = 631894348800. Its totient is φ = 84654720000.

The previous prime is 240120132947. The next prime is 240120133067. The reversal of 240120133000 is 331021042.

It is a happy number.

240120133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 56350870 + ... + 56355130.

It is an arithmetic number, because the mean of its divisors is an integer number (2468337300).

Almost surely, 2^240120133000 is an apocalyptic number.

240120133000 is a gapful number since it is divisible by the number (20) 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 240120133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315947174400).

240120133000 is an abundant number, since it is smaller than the sum of its proper divisors (391774215800).

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

240120133000 is a wasteful number, since it uses less digits than its factorization.

240120133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 240120133000 its reverse (331021042), we get a palindrome (240451154042).

The spelling of 240120133000 in words is "two hundred forty billion, one hundred twenty million, one hundred thirty-three thousand".