122122022012220 has 192 divisors, whose sum is σ = 371443131924480. Its totient is φ = 29859267121152.

The previous prime is 122122022012189. The next prime is 122122022012233. The reversal of 122122022012220 is 22210220221221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13163446 + ... + 20433314.

It is an arithmetic number, because the mean of its divisors is an integer number (1934599645440).

Almost surely, 2^{122122022012220} is an apocalyptic number.

122122022012220 is a gapful number since it is divisible by the number (10) 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 122122022012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185721565962240).

122122022012220 is an abundant number, since it is smaller than the sum of its proper divisors (249321109912260).

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

122122022012220 is a wasteful number, since it uses less digits than its factorization.

122122022012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7270324 (or 7270322 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 122122022012220 its reverse (22210220221221), we get a palindrome (144332242233441).

The spelling of 122122022012220 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty-two million, twelve thousand, two hundred twenty".