3122011013121 has 96 divisors (see below), whose sum is σ = 6279061920768. Its totient is φ = 1497068101440.

The previous prime is 3122011013089. The next prime is 3122011013129. The reversal of 3122011013121 is 1213101102213.

3122011013121 is a `hidden beast` number, since 31 + 220 + 1 + 101 + 312 + 1 = 666.

It is not a de Polignac number, because 3122011013121 - 2⁵ = 3122011013089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3122011013094 and 3122011013103.

It is not an unprimeable number, because it can be changed into a prime (3122011013129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6174231 + ... + 6660716.

It is an arithmetic number, because the mean of its divisors is an integer number (65406895008).

Almost surely, 2^{3122011013121} is an apocalyptic number.

It is an amenable number.

3122011013121 is an abundant number, since it is smaller than the sum of its proper divisors (3157050907647).

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

3122011013121 is a wasteful number, since it uses less digits than its factorization.

3122011013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12834993 (or 12834981 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 3122011013121 its reverse (1213101102213), we get a palindrome (4335112115334).

The spelling of 3122011013121 in words is "three trillion, one hundred twenty-two billion, eleven million, thirteen thousand, one hundred twenty-one".