330121201013120 has 512 divisors, whose sum is σ = 874772839987200. Its totient is φ = 118133157888000.

The previous prime is 330121201013117. The next prime is 330121201013141. The reversal of 330121201013120 is 21310102121033.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 330121201013092 and 330121201013101.

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, 80301919865 + ... + 80301923975.

It is an arithmetic number, because the mean of its divisors is an integer number (1708540703100).

Almost surely, 2^{330121201013120} 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 330121201013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437386419993600).

330121201013120 is an abundant number, since it is smaller than the sum of its proper divisors (544651638974080).

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

330121201013120 is a wasteful number, since it uses less digits than its factorization.

330121201013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 330121201013120 its reverse (21310102121033), we get a palindrome (351431303134153).

The spelling of 330121201013120 in words is "three hundred thirty trillion, one hundred twenty-one billion, two hundred one million, thirteen thousand, one hundred twenty".