122220212112 has 120 divisors (see below), whose sum is σ = 351459975360. Its totient is φ = 39619964160.

The previous prime is 122220212083. The next prime is 122220212119. The reversal of 122220212112 is 211212022221.

It is a happy number.

122220212112 is a `hidden beast` number, since 122 + 220 + 212 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122220212119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14866339 + ... + 14874557.

It is an arithmetic number, because the mean of its divisors is an integer number (2928833128).

Almost surely, 2^122220212112 is an apocalyptic number.

122220212112 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 122220212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175729987680).

122220212112 is an abundant number, since it is smaller than the sum of its proper divisors (229239763248).

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

122220212112 is a wasteful number, since it uses less digits than its factorization.

122220212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061 (or 11052 counting only the distinct ones).

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

Adding to 122220212112 its reverse (211212022221), we get a palindrome (333432234333).

The spelling of 122220212112 in words is "one hundred twenty-two billion, two hundred twenty million, two hundred twelve thousand, one hundred twelve".