122220102120012 has 144 divisors (see below), whose sum is σ = 335954528320320. Its totient is φ = 37239518790144.

The previous prime is 122220102119989. The next prime is 122220102120041. The reversal of 122220102120012 is 210021201022221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 1754060518 + ... + 1754130194.

It is an arithmetic number, because the mean of its divisors is an integer number (2333017557780).

Almost surely, 2^{122220102120012} is an apocalyptic number.

122220102120012 is a gapful number since it is divisible by the number (12) 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 122220102120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167977264160160).

122220102120012 is an abundant number, since it is smaller than the sum of its proper divisors (213734426200308).

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

122220102120012 is a wasteful number, since it uses less digits than its factorization.

122220102120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106192 (or 106187 counting only the distinct ones).

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

Adding to 122220102120012 its reverse (210021201022221), we get a palindrome (332241303142233).

The spelling of 122220102120012 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred two million, one hundred twenty thousand, twelve".