120233133000 has 256 divisors, whose sum is σ = 417212640000. Its totient is φ = 32031072000.

The previous prime is 120233132963. The next prime is 120233133017. The reversal of 120233133000 is 331332021.

120233133000 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 331 + 330 + 0 + 0 = 666.

120233133000 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45871690 + ... + 45874310.

It is an arithmetic number, because the mean of its divisors is an integer number (1629736875).

Almost surely, 2^120233133000 is an apocalyptic number.

120233133000 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 120233133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208606320000).

120233133000 is an abundant number, since it is smaller than the sum of its proper divisors (296979507000).

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

120233133000 is a wasteful number, since it uses less digits than its factorization.

120233133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 120233133000 its reverse (331332021), we get a palindrome (120564465021).

The spelling of 120233133000 in words is "one hundred twenty billion, two hundred thirty-three million, one hundred thirty-three thousand".