3311001123120 has 120 divisors (see below), whose sum is σ = 11136633165216. Its totient is φ = 881568850944.

The previous prime is 3311001123061. The next prime is 3311001123127. The reversal of 3311001123120 is 213211001133.

3311001123120 is a `hidden beast` number, since 331 + 10 + 0 + 1 + 12 + 312 + 0 = 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 = 3311001123093 and 3311001123102.

It is not an unprimeable number, because it can be changed into a prime (3311001123127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3087957 + ... + 4019636.

Almost surely, 2^{3311001123120} is an apocalyptic number.

3311001123120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3311001123120 is an abundant number, since it is smaller than the sum of its proper divisors (7825632042096).

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

3311001123120 is a wasteful number, since it uses less digits than its factorization.

3311001123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108259 (or 7108250 counting only the distinct ones).

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

Adding to 3311001123120 its reverse (213211001133), we get a palindrome (3524212124253).

The spelling of 3311001123120 in words is "three trillion, three hundred eleven billion, one million, one hundred twenty-three thousand, one hundred twenty".