120333120000 has 400 divisors, whose sum is σ = 403572190560. Its totient is φ = 31850496000.

The previous prime is 120333119989. The next prime is 120333120001. The reversal of 120333120000 is 21333021.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (120333120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156479616 + ... + 156480384.

Almost surely, 2^120333120000 is an apocalyptic number.

120333120000 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 120333120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201786095280).

120333120000 is an abundant number, since it is smaller than the sum of its proper divisors (283239070560).

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

120333120000 is an frugal number, since it uses more digits than its factorization.

120333120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 120333120000 its reverse (21333021), we get a palindrome (120354453021).

The spelling of 120333120000 in words is "one hundred twenty billion, three hundred thirty-three million, one hundred twenty thousand".