311201121221 has 8 divisors (see below), whose sum is σ = 317255424000. Its totient is φ = 305199694800.

The previous prime is 311201121173. The next prime is 311201121251. The reversal of 311201121221 is 122121102113.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311201121221 is a prime.

It is a super-2 number, since 2×311201121221² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311201121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311201121251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13207205 + ... + 13230746.

It is an arithmetic number, because the mean of its divisors is an integer number (39656928000).

Almost surely, 2^311201121221 is an apocalyptic number.

It is an amenable number.

311201121221 is a deficient number, since it is larger than the sum of its proper divisors (6054302779).

311201121221 is a wasteful number, since it uses less digits than its factorization.

311201121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26438179.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 311201121221 its reverse (122121102113), we get a palindrome (433322223334).

The spelling of 311201121221 in words is "three hundred eleven billion, two hundred one million, one hundred twenty-one thousand, two hundred twenty-one".