311120042220 has 288 divisors, whose sum is σ = 1025216704512. Its totient is φ = 75916583424.

The previous prime is 311120042147. The next prime is 311120042237. The reversal of 311120042220 is 22240021113.

It is a happy number.

311120042220 is a `hidden beast` number, since 31 + 11 + 200 + 422 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 311120042193 and 311120042202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137237527 + ... + 137239793.

It is an arithmetic number, because the mean of its divisors is an integer number (3559780224).

Almost surely, 2^311120042220 is an apocalyptic number.

311120042220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311120042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512608352256).

311120042220 is an abundant number, since it is smaller than the sum of its proper divisors (714096662292).

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

311120042220 is a wasteful number, since it uses less digits than its factorization.

311120042220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 311120042220 its reverse (22240021113), we get a palindrome (333360063333).

The spelling of 311120042220 in words is "three hundred eleven billion, one hundred twenty million, forty-two thousand, two hundred twenty".