311121141200 has 120 divisors (see below), whose sum is σ = 791708356440. Its totient is φ = 117087846400.

The previous prime is 311121141187. The next prime is 311121141223. The reversal of 311121141200 is 2141121113.

It can be written as a sum of positive squares in 12 ways, for example, as 107673234496 + 203447906704 = 328136^2 + 451052^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 23 ways as a sum of consecutive naturals, for example, 26384906 + ... + 26396694.

It is an arithmetic number, because the mean of its divisors is an integer number (6597569637).

Almost surely, 2^311121141200 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 311121141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395854178220).

311121141200 is an abundant number, since it is smaller than the sum of its proper divisors (480587215240).

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

311121141200 is a wasteful number, since it uses less digits than its factorization.

311121141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15705 (or 15694 counting only the distinct ones).

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

Adding to 311121141200 its reverse (2141121113), we get a palindrome (313262262313).

The spelling of 311121141200 in words is "three hundred eleven billion, one hundred twenty-one million, one hundred forty-one thousand, two hundred".