120033012200 has 72 divisors (see below), whose sum is σ = 285718724550. Its totient is φ = 46896474240.

The previous prime is 120033012161. The next prime is 120033012217. The reversal of 120033012200 is 2210330021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 106292952676 + 13740059524 = 326026^2 + 117218^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207506 + ... + 532094.

Almost surely, 2^120033012200 is an apocalyptic number.

120033012200 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 120033012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142859362275).

120033012200 is an abundant number, since it is smaller than the sum of its proper divisors (165685712350).

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

120033012200 is a wasteful number, since it uses less digits than its factorization.

120033012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324691 (or 324639 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 120033012200 its reverse (2210330021), we get a palindrome (122243342221).

It can be divided in two parts, 12003 and 3012200, that added together give a palindrome (3024203).

The spelling of 120033012200 in words is "one hundred twenty billion, thirty-three million, twelve thousand, two hundred".