120133203122000 has 40 divisors (see below), whose sum is σ = 290482085153832. Its totient is φ = 48053281248000.

The previous prime is 120133203121979. The next prime is 120133203122003. The reversal of 120133203122000 is 221302331021.

It can be written as a sum of positive squares in 4 ways, for example, as 31621008041536 + 88512195080464 = 5623256^2 + 9408092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133203122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30033298781 + ... + 30033302780.

Almost surely, 2^{120133203122000} is an apocalyptic number.

120133203122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120133203122000 is an abundant number, since it is smaller than the sum of its proper divisors (170348882031832).

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

120133203122000 is an equidigital number, since it uses as much as digits as its factorization.

120133203122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60066601584 (or 60066601568 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 120133203122000 its reverse (221302331021), we get a palindrome (120354505453021).

The spelling of 120133203122000 in words is "one hundred twenty trillion, one hundred thirty-three billion, two hundred three million, one hundred twenty-two thousand".