122122211020020 has 72 divisors (see below), whose sum is σ = 370438513066440. Its totient is φ = 32565822750720.

The previous prime is 122122211019989. The next prime is 122122211020259. The reversal of 122122211020020 is 20020112221221.

It is a happy number.

122122211020020 is a `hidden beast` number, since 1 + 2 + 212 + 221 + 10 + 200 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3822392548836 + 118299818471184 = 1955094^2 + 10876572^2 .

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 = 122122211019975 and 122122211020002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71656180 + ... + 73340660.

It is an arithmetic number, because the mean of its divisors is an integer number (5144979348145).

Almost surely, 2^{122122211020020} is an apocalyptic number.

122122211020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122211020020 is an abundant number, since it is smaller than the sum of its proper divisors (248316302046420).

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

122122211020020 is a wasteful number, since it uses less digits than its factorization.

122122211020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087265 (or 2087260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122122211020020 its reverse (20020112221221), we get a palindrome (142142323241241).

The spelling of 122122211020020 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred eleven million, twenty thousand, twenty".