3122133010020 has 144 divisors (see below), whose sum is σ = 9671705512560. Its totient is φ = 815063040000.

The previous prime is 3122133009973. The next prime is 3122133010049. The reversal of 3122133010020 is 200103312213.

3122133010020 is a `hidden beast` number, since 312 + 2 + 1 + 330 + 1 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30577418496 + 3091555591524 = 174864^2 + 1758282^2 .

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 = 3122133009975 and 3122133010002.

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, 653220 + ... + 2582820.

It is an arithmetic number, because the mean of its divisors is an integer number (67164621615).

Almost surely, 2^{3122133010020} is an apocalyptic number.

3122133010020 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 3122133010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835852756280).

3122133010020 is an abundant number, since it is smaller than the sum of its proper divisors (6549572502540).

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

3122133010020 is a wasteful number, since it uses less digits than its factorization.

3122133010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929806 (or 1929801 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3122133010020 its reverse (200103312213), we get a palindrome (3322236322233).

It can be divided in two parts, 312213 and 3010020, that added together give a palindrome (3322233).

The spelling of 3122133010020 in words is "three trillion, one hundred twenty-two billion, one hundred thirty-three million, ten thousand, twenty".