3301200033120 has 144 divisors (see below), whose sum is σ = 12289467454992. Its totient is φ = 800290913280.

The previous prime is 3301200033101. The next prime is 3301200033121. The reversal of 3301200033120 is 213300021033.

3301200033120 is a `hidden beast` number, since 330 + 1 + 2 + 0 + 0 + 0 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3301200033093 and 3301200033102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301200033121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104188707 + ... + 104220386.

It is an arithmetic number, because the mean of its divisors is an integer number (85343523993).

Almost surely, 2^{3301200033120} is an apocalyptic number.

3301200033120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3301200033120 is an abundant number, since it is smaller than the sum of its proper divisors (8988267421872).

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

3301200033120 is a wasteful number, since it uses less digits than its factorization.

3301200033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208409125 (or 208409114 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3301200033120 its reverse (213300021033), we get a palindrome (3514500054153).

The spelling of 3301200033120 in words is "three trillion, three hundred one billion, two hundred million, thirty-three thousand, one hundred twenty".