3013220122020 has 240 divisors, whose sum is σ = 9548801661168. Its totient is φ = 795379875840.

The previous prime is 3013220122001. The next prime is 3013220122021. The reversal of 3013220122020 is 202210223103.

3013220122020 is a `hidden beast` number, since 301 + 3 + 220 + 122 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 188057526336 + 2825162595684 = 433656^2 + 1680822^2 .

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 = 3013220121984 and 3013220122002.

It is not an unprimeable number, because it can be changed into a prime (3013220122021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78325590 + ... + 78364050.

Almost surely, 2^{3013220122020} is an apocalyptic number.

3013220122020 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 3013220122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774400830584).

3013220122020 is an abundant number, since it is smaller than the sum of its proper divisors (6535581539148).

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

3013220122020 is a wasteful number, since it uses less digits than its factorization.

3013220122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38972 (or 38961 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3013220122020 its reverse (202210223103), we get a palindrome (3215430345123).

The spelling of 3013220122020 in words is "three trillion, thirteen billion, two hundred twenty million, one hundred twenty-two thousand, twenty".