120032033000 has 128 divisors (see below), whose sum is σ = 314691436800. Its totient is φ = 42468192000.

The previous prime is 120032032997. The next prime is 120032033029. The reversal of 120032033000 is 330230021.

It is a super-2 number, since 2×120032033000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259541 + ... + 554459.

It is an arithmetic number, because the mean of its divisors is an integer number (2458526850).

Almost surely, 2^120032033000 is an apocalyptic number.

120032033000 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 120032033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157345718400).

120032033000 is an abundant number, since it is smaller than the sum of its proper divisors (194659403800).

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

120032033000 is a wasteful number, since it uses less digits than its factorization.

120032033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294988 (or 294974 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 120032033000 its reverse (330230021), we get a palindrome (120362263021).

The spelling of 120032033000 in words is "one hundred twenty billion, thirty-two million, thirty-three thousand".