200333313000120 has 128 divisors (see below), whose sum is σ = 605785678202880. Its totient is φ = 52997760000000.

The previous prime is 200333313000091. The next prime is 200333313000127. The reversal of 200333313000120 is 21000313333002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200333313000127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6247320 + ... + 20968920.

It is an arithmetic number, because the mean of its divisors is an integer number (4732700610960).

Almost surely, 2^{200333313000120} is an apocalyptic number.

200333313000120 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 200333313000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302892839101440).

200333313000120 is an abundant number, since it is smaller than the sum of its proper divisors (405452365202760).

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

200333313000120 is a wasteful number, since it uses less digits than its factorization.

200333313000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14722517 (or 14722513 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 200333313000120 its reverse (21000313333002), we get a palindrome (221333626333122).

The spelling of 200333313000120 in words is "two hundred trillion, three hundred thirty-three billion, three hundred thirteen million, one hundred twenty", and thus it is an aban number.