122220012102120 has 192 divisors, whose sum is σ = 408580632345600. Its totient is φ = 31667378480640.

The previous prime is 122220012102113. The next prime is 122220012102161. The reversal of 122220012102120 is 21201210022221.

It is a happy number.

122220012102120 is a `hidden beast` number, since 1 + 22 + 220 + 0 + 1 + 210 + 212 + 0 = 666.

It is a super-2 number, since 2×122220012102120² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122220012102093 and 122220012102102.

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, 17711775 + ... + 23625134.

It is an arithmetic number, because the mean of its divisors is an integer number (2128024126800).

Almost surely, 2^{122220012102120} is an apocalyptic number.

122220012102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220012102120 is an abundant number, since it is smaller than the sum of its proper divisors (286360620243480).

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

122220012102120 is a wasteful number, since it uses less digits than its factorization.

122220012102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41337160 (or 41337153 counting only the distinct ones).

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

Adding to 122220012102120 its reverse (21201210022221), we get a palindrome (143421222124341).

The spelling of 122220012102120 in words is "one hundred twenty-two trillion, two hundred twenty billion, twelve million, one hundred two thousand, one hundred twenty".