3301011123120 has 120 divisors (see below), whose sum is σ = 11087216402496. Its totient is φ = 880164762624.

The previous prime is 3301011123107. The next prime is 3301011123121. The reversal of 3301011123120 is 213211101033.

3301011123120 is a `hidden beast` number, since 3 + 301 + 0 + 111 + 231 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3301011123093 and 3301011123102.

It is not an unprimeable number, because it can be changed into a prime (3301011123121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5870604 + ... + 6408276.

Almost surely, 2^{3301011123120} is an apocalyptic number.

3301011123120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3301011123120 is an abundant number, since it is smaller than the sum of its proper divisors (7786205279376).

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

3301011123120 is a wasteful number, since it uses less digits than its factorization.

3301011123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546219 (or 546210 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3301011123120 its reverse (213211101033), we get a palindrome (3514222224153).

The spelling of 3301011123120 in words is "three trillion, three hundred one billion, eleven million, one hundred twenty-three thousand, one hundred twenty".