311121211000 has 128 divisors (see below), whose sum is σ = 748834257600. Its totient is φ = 120921292800.

The previous prime is 311121210941. The next prime is 311121211003. The reversal of 311121211000 is 112121113.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311121211003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8280256 + ... + 8317744.

Almost surely, 2^311121211000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374417128800).

311121211000 is an abundant number, since it is smaller than the sum of its proper divisors (437713046600).

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

311121211000 is a wasteful number, since it uses less digits than its factorization.

311121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37746 (or 37732 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 311121211000 its reverse (112121113), we get a palindrome (311233332113).

The spelling of 311121211000 in words is "three hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand".