3121113221217 has 16 divisors (see below), whose sum is σ = 4671540220480. Its totient is φ = 2059291195776.

The previous prime is 3121113221183. The next prime is 3121113221221. The reversal of 3121113221217 is 7121223111213.

3121113221217 is a `hidden beast` number, since 3 + 1 + 211 + 1 + 322 + 121 + 7 = 666.

It is not a de Polignac number, because 3121113221217 - 2¹⁸ = 3121112959073 is a prime.

It is a super-2 number, since 2×3121113221217² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3121113221267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595857103 + ... + 595862340.

It is an arithmetic number, because the mean of its divisors is an integer number (291971263780).

Almost surely, 2^{3121113221217} is an apocalyptic number.

It is an amenable number.

3121113221217 is a deficient number, since it is larger than the sum of its proper divisors (1550426999263).

3121113221217 is a wasteful number, since it uses less digits than its factorization.

3121113221217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191719549 (or 1191719543 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The spelling of 3121113221217 in words is "three trillion, one hundred twenty-one billion, one hundred thirteen million, two hundred twenty-one thousand, two hundred seventeen".