330021121200000 has 1536 divisors, whose sum is σ = 1165184133442560. Its totient is φ = 82587648000000.

The previous prime is 330021121199929. The next prime is 330021121200053. The reversal of 330021121200000 is 2121120033.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 350713199530 + ... + 350713200470.

It is an arithmetic number, because the mean of its divisors is an integer number (758583420210).

Almost surely, 2^{330021121200000} is an apocalyptic number.

330021121200000 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 330021121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582592066721280).

330021121200000 is an abundant number, since it is smaller than the sum of its proper divisors (835163012242560).

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

330021121200000 is an equidigital number, since it uses as much as digits as its factorization.

330021121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 330021121200000 its reverse (2121120033), we get a palindrome (330023242320033).

The spelling of 330021121200000 in words is "three hundred thirty trillion, twenty-one billion, one hundred twenty-one million, two hundred thousand".