330120120000 has 280 divisors, whose sum is σ = 1190682009792. Its totient is φ = 80028800000.

The previous prime is 330120119981. The next prime is 330120120007. The reversal of 330120120000 is 21021033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (330120120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1194955 + ... + 1445045.

Almost surely, 2^330120120000 is an apocalyptic number.

330120120000 is a gapful number since it is divisible by the number (30) 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 330120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595341004896).

330120120000 is an abundant number, since it is smaller than the sum of its proper divisors (860561889792).

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

330120120000 is a wasteful number, since it uses less digits than its factorization.

330120120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250137 (or 250112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 330120120000 its reverse (21021033), we get a palindrome (330141141033).

It can be divided in two parts, 3 and 30120120000, that multiplied together give a square (90360360000 = 300600²).

The spelling of 330120120000 in words is "three hundred thirty billion, one hundred twenty million, one hundred twenty thousand".