122122220221220 has 48 divisors (see below), whose sum is σ = 257371496382000. Its totient is φ = 48674829934080.

The previous prime is 122122220221217. The next prime is 122122220221247. The reversal of 122122220221220 is 22122022221221.

It can be written as a sum of positive squares in 8 ways, for example, as 27469674287104 + 94652545934116 = 5241152^2 + 9728954^2 .

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 15 ways as a sum of consecutive naturals, for example, 3852650 + ... + 16096190.

It is an arithmetic number, because the mean of its divisors is an integer number (5361906174625).

Almost surely, 2^{122122220221220} is an apocalyptic number.

122122220221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122220221220 is an abundant number, since it is smaller than the sum of its proper divisors (135249276160780).

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

122122220221220 is a wasteful number, since it uses less digits than its factorization.

122122220221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12245328 (or 12245326 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 122122220221220 its reverse (22122022221221), we get a palindrome (144244242442441).

The spelling of 122122220221220 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twenty-one thousand, two hundred twenty".