311311121200 has 60 divisors (see below), whose sum is σ = 756936193608. Its totient is φ = 123024140800.

The previous prime is 311311121153. The next prime is 311311121227. The reversal of 311311121200 is 2121113113.

It is a happy number.

It is a super-2 number, since 2×311311121200² (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4655221 + ... + 4721620.

Almost surely, 2^311311121200 is an apocalyptic number.

It is an amenable number.

311311121200 is an abundant number, since it is smaller than the sum of its proper divisors (445625072408).

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

311311121200 is a wasteful number, since it uses less digits than its factorization.

311311121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376942 (or 9376931 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 311311121200 its reverse (2121113113), we get a palindrome (313432234313).

The spelling of 311311121200 in words is "three hundred eleven billion, three hundred eleven million, one hundred twenty-one thousand, two hundred".