120320033000 has 128 divisors (see below), whose sum is σ = 300117636000. Its totient is φ = 44992000000.

The previous prime is 120320032999. The next prime is 120320033039. The reversal of 120320033000 is 330023021.

It can be written as a sum of positive squares in 16 ways, for example, as 6625634404 + 113694398596 = 81398^2 + 337186^2 .

It is a super-2 number, since 2×120320033000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2509250 + ... + 2556750.

Almost surely, 2^120320033000 is an apocalyptic number.

120320033000 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 120320033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150058818000).

120320033000 is an abundant number, since it is smaller than the sum of its proper divisors (179797603000).

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

120320033000 is a wasteful number, since it uses less digits than its factorization.

120320033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47688 (or 47674 counting only the distinct ones).

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

Adding to 120320033000 its reverse (330023021), we get a palindrome (120650056021).

The spelling of 120320033000 in words is "one hundred twenty billion, three hundred twenty million, thirty-three thousand".