330044121200000 has 384 divisors, whose sum is σ = 859623293088000. Its totient is φ = 125974900480000.

The previous prime is 330044121199997. The next prime is 330044121200029. The reversal of 330044121200000 is 2121440033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3854757191 + ... + 3854842809.

It is an arithmetic number, because the mean of its divisors is an integer number (2238602325750).

Almost surely, 2^{330044121200000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330044121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429811646544000).

330044121200000 is an abundant number, since it is smaller than the sum of its proper divisors (529579171888000).

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

330044121200000 is an frugal number, since it uses more digits than its factorization.

330044121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86100 (or 86068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 330044121200000 its reverse (2121440033), we get a palindrome (330046242640033).

The spelling of 330044121200000 in words is "three hundred thirty trillion, forty-four billion, one hundred twenty-one million, two hundred thousand".