122100122012220 has 72 divisors (see below), whose sum is σ = 404040403756080. Its totient is φ = 29600029578240.

The previous prime is 122100122012191. The next prime is 122100122012227. The reversal of 122100122012220 is 22210221001221.

It is a happy number.

122100122012220 is a `hidden beast` number, since 1 + 2 + 210 + 0 + 1 + 220 + 12 + 220 = 666.

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 = 122100122012193 and 122100122012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100122012227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30833362165 + ... + 30833366124.

It is an arithmetic number, because the mean of its divisors is an integer number (5611672274390).

Almost surely, 2^{122100122012220} is an apocalyptic number.

122100122012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100122012220 is an abundant number, since it is smaller than the sum of its proper divisors (281940281743860).

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

122100122012220 is a wasteful number, since it uses less digits than its factorization.

122100122012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61666728315 (or 61666728310 counting only the distinct ones).

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

Adding to 122100122012220 its reverse (22210221001221), we get a palindrome (144310343013441).

The spelling of 122100122012220 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-two million, twelve thousand, two hundred twenty".