3805133220120 has 128 divisors (see below), whose sum is σ = 12309288768000. Its totient is φ = 937850526720.

The previous prime is 3805133220041. The next prime is 3805133220127. The reversal of 3805133220120 is 210223315083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3805133220127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20259180 + ... + 20446139.

It is an arithmetic number, because the mean of its divisors is an integer number (96166318500).

Almost surely, 2^{3805133220120} is an apocalyptic number.

3805133220120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3805133220120 is an abundant number, since it is smaller than the sum of its proper divisors (8504155547880).

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

3805133220120 is a wasteful number, since it uses less digits than its factorization.

3805133220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40705393 (or 40705389 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 3805133220120 in words is "three trillion, eight hundred five billion, one hundred thirty-three million, two hundred twenty thousand, one hundred twenty".