311120000 has 80 divisors (see below), whose sum is σ = 774712950. Its totient is φ = 124416000.

The previous prime is 311119997. The next prime is 311120027. The reversal of 311120000 is 21113.

It can be written as a sum of positive squares in 5 ways, for example, as 15555136 + 295564864 = 3944^2 + 17192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 311120000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78056 + ... + 81944.

Almost surely, 2^311120000 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 311120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387356475).

311120000 is an abundant number, since it is smaller than the sum of its proper divisors (463592950).

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

311120000 is an frugal number, since it uses more digits than its factorization.

311120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 311120000 is about 17638.5940482795. The cubic root of 311120000 is about 677.6040244586.

Adding to 311120000 its reverse (21113), we get a palindrome (311141113).

The spelling of 311120000 in words is "three hundred eleven million, one hundred twenty thousand".