120002133300 has 576 divisors, whose sum is σ = 422026321920. Its totient is φ = 25754112000.

The previous prime is 120002133299. The next prime is 120002133373. The reversal of 120002133300 is 3331200021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120002133300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 442812165 + ... + 442812435.

Almost surely, 2^120002133300 is an apocalyptic number.

120002133300 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 120002133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211013160960).

120002133300 is an abundant number, since it is smaller than the sum of its proper divisors (302024188620).

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

120002133300 is a wasteful number, since it uses less digits than its factorization.

120002133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 120002133300 its reverse (3331200021), we get a palindrome (123333333321).

It can be divided in two parts, 1200021 and 33300, that added together give a palindrome (1233321).

The spelling of 120002133300 in words is "one hundred twenty billion, two million, one hundred thirty-three thousand, three hundred".