311122020 has 96 divisors (see below), whose sum is σ = 953124480. Its totient is φ = 75202560.

The previous prime is 311122003. The next prime is 311122037. The reversal of 311122020 is 20221113.

311122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (311122003) and next prime (311122037).

It is a super-2 number, since 2×311122020² = 193593822657760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 311121987 and 311122005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404196 + ... + 404964.

It is an arithmetic number, because the mean of its divisors is an integer number (9928380).

Almost surely, 2^311122020 is an apocalyptic number.

311122020 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 311122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476562240).

311122020 is an abundant number, since it is smaller than the sum of its proper divisors (642002460).

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

311122020 is a wasteful number, since it uses less digits than its factorization.

311122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 311122020 is about 17638.6513089862. The cubic root of 311122020 is about 677.6054909423.

Adding to 311122020 its reverse (20221113), we get a palindrome (331343133).

The spelling of 311122020 in words is "three hundred eleven million, one hundred twenty-two thousand, twenty".