122221022120020 has 12 divisors (see below), whose sum is σ = 256664146452084. Its totient is φ = 48888408848000.

The previous prime is 122221022120011. The next prime is 122221022120027. The reversal of 122221022120020 is 20021220122221.

122221022120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 88694467115076 + 33526555004944 = 9417774^2 + 5790212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122221022120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221022120027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3055525552981 + ... + 3055525553020.

It is an arithmetic number, because the mean of its divisors is an integer number (21388678871007).

Almost surely, 2^{122221022120020} is an apocalyptic number.

122221022120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221022120020 is an abundant number, since it is smaller than the sum of its proper divisors (134443124332064).

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

122221022120020 is a wasteful number, since it uses less digits than its factorization.

122221022120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111051106010 (or 6111051106008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122221022120020 its reverse (20021220122221), we get a palindrome (142242242242241).

The spelling of 122221022120020 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty thousand, twenty".