120225533000 has 128 divisors (see below), whose sum is σ = 290783001600. Its totient is φ = 46478016000.

The previous prime is 120225532949. The next prime is 120225533003. The reversal of 120225533000 is 335522021.

It is not an unprimeable number, because it can be changed into a prime (120225533003) 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, 29044931 + ... + 29049069.

It is an arithmetic number, because the mean of its divisors is an integer number (2271742200).

Almost surely, 2^120225533000 is an apocalyptic number.

120225533000 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 120225533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145391500800).

120225533000 is an abundant number, since it is smaller than the sum of its proper divisors (170557468600).

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

120225533000 is a wasteful number, since it uses less digits than its factorization.

120225533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 120225533000 in words is "one hundred twenty billion, two hundred twenty-five million, five hundred thirty-three thousand".