3302123313120 has 96 divisors (see below), whose sum is σ = 10533355499520. Its totient is φ = 869419799040.

The previous prime is 3302123313119. The next prime is 3302123313179. The reversal of 3302123313120 is 213133212033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 43502736 + ... + 43578575.

It is an arithmetic number, because the mean of its divisors is an integer number (109722453120).

Almost surely, 2^{3302123313120} is an apocalyptic number.

3302123313120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3302123313120 is an abundant number, since it is smaller than the sum of its proper divisors (7231232186400).

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

3302123313120 is a wasteful number, since it uses less digits than its factorization.

3302123313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87081408 (or 87081400 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 3302123313120 its reverse (213133212033), we get a palindrome (3515256525153).

The spelling of 3302123313120 in words is "three trillion, three hundred two billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred twenty".