311121211120 has 40 divisors (see below), whose sum is σ = 723385481616. Its totient is φ = 124443552768.

The previous prime is 311121211111. The next prime is 311121211201. The reversal of 311121211120 is 21112121113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×311121211120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 311121211094 and 311121211103.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2482279 + ... + 2604601.

Almost surely, 2^311121211120 is an apocalyptic number.

It is an amenable number.

311121211120 is an abundant number, since it is smaller than the sum of its proper divisors (412264270496).

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

311121211120 is a wasteful number, since it uses less digits than its factorization.

311121211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154129 (or 154123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 311121211120 its reverse (21112121113), we get a palindrome (332233332233).

The spelling of 311121211120 in words is "three hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".