3330121232000 has 128 divisors (see below), whose sum is σ = 8284393288080. Its totient is φ = 1331263488000.

The previous prime is 3330121231919. The next prime is 3330121232023. The reversal of 3330121232000 is 2321210333.

It can be written as a sum of positive squares in 8 ways, for example, as 908910543424 + 2421210688576 = 953368^2 + 1556024^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×3330121232000⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27475532 + ... + 27596468.

Almost surely, 2^{3330121232000} 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 3330121232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142196644040).

3330121232000 is an abundant number, since it is smaller than the sum of its proper divisors (4954272056080).

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

3330121232000 is a wasteful number, since it uses less digits than its factorization.

3330121232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122687 (or 122665 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3330121232000 its reverse (2321210333), we get a palindrome (3332442442333).

The spelling of 3330121232000 in words is "three trillion, three hundred thirty billion, one hundred twenty-one million, two hundred thirty-two thousand".