330121110000000 has 512 divisors, whose sum is σ = 1195749313873920. Its totient is φ = 80029280000000.

The previous prime is 330121109999999. The next prime is 330121110000029. The reversal of 330121110000000 is 11121033.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329499817 + ... + 330500183.

It is an arithmetic number, because the mean of its divisors is an integer number (2335447878660).

Almost surely, 2^{330121110000000} is an apocalyptic number.

330121110000000 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 330121110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597874656936960).

330121110000000 is an abundant number, since it is smaller than the sum of its proper divisors (865628203873920).

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

330121110000000 is an frugal number, since it uses more digits than its factorization.

330121110000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000430 (or 1000388 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 330121110000000 its reverse (11121033), we get a palindrome (330121121121033).

The spelling of 330121110000000 in words is "three hundred thirty trillion, one hundred twenty-one billion, one hundred ten million", and thus it is an aban number.