330121020000 has 240 divisors, whose sum is σ = 1100627024112. Its totient is φ = 86588160000.

The previous prime is 330121019981. The next prime is 330121020007. The reversal of 330121020000 is 20121033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330121020007) 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, 3614902 + ... + 3705098.

Almost surely, 2^330121020000 is an apocalyptic number.

330121020000 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 330121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550313512056).

330121020000 is an abundant number, since it is smaller than the sum of its proper divisors (770506004112).

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

330121020000 is an equidigital number, since it uses as much as digits as its factorization.

330121020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90291 (or 90268 counting only the distinct ones).

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

Adding to 330121020000 its reverse (20121033), we get a palindrome (330141141033).

The spelling of 330121020000 in words is "three hundred thirty billion, one hundred twenty-one million, twenty thousand".