120133120200 has 192 divisors, whose sum is σ = 394051713600. Its totient is φ = 30191616000.

The previous prime is 120133120169. The next prime is 120133120201. The reversal of 120133120200 is 2021331021.

120133120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 120133120200.

It is not an unprimeable number, because it can be changed into a prime (120133120201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2172900 + ... + 2227500.

It is an arithmetic number, because the mean of its divisors is an integer number (2052352675).

Almost surely, 2^120133120200 is an apocalyptic number.

120133120200 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 120133120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197025856800).

120133120200 is an abundant number, since it is smaller than the sum of its proper divisors (273918593400).

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

120133120200 is a wasteful number, since it uses less digits than its factorization.

120133120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54832 (or 54823 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120133120200 its reverse (2021331021), we get a palindrome (122154451221).

The spelling of 120133120200 in words is "one hundred twenty billion, one hundred thirty-three million, one hundred twenty thousand, two hundred".