311200120 has 192 divisors, whose sum is σ = 917360640. Its totient is φ = 92294400.

The previous prime is 311200111. The next prime is 311200151. The reversal of 311200120 is 21002113.

311200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 311200097 and 311200106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1629225 + ... + 1629415.

It is an arithmetic number, because the mean of its divisors is an integer number (4777920).

Almost surely, 2^311200120 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 311200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458680320).

311200120 is an abundant number, since it is smaller than the sum of its proper divisors (606160520).

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

311200120 is a wasteful number, since it uses less digits than its factorization.

311200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 311200120 is about 17640.8650581540. The cubic root of 311200120 is about 677.6621852700.

Adding to 311200120 its reverse (21002113), we get a palindrome (332202233).

The spelling of 311200120 in words is "three hundred eleven million, two hundred thousand, one hundred twenty".