122211222000021 has 144 divisors (see below), whose sum is σ = 225497706183360. Its totient is φ = 63067829045760.

The previous prime is 122211222000019. The next prime is 122211222000047. The reversal of 122211222000021 is 120000222112221.

It is a happy number.

It is not a de Polignac number, because 122211222000021 - 2¹ = 122211222000019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122211221999958 and 122211222000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211222000121) 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 143 ways as a sum of consecutive naturals, for example, 452671945 + ... + 452941841.

It is an arithmetic number, because the mean of its divisors is an integer number (1565956292940).

Almost surely, 2^{122211222000021} is an apocalyptic number.

122211222000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211222000021 is a deficient number, since it is larger than the sum of its proper divisors (103286484183339).

122211222000021 is a wasteful number, since it uses less digits than its factorization.

122211222000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270544 (or 270534 counting only the distinct ones).

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

Adding to 122211222000021 its reverse (120000222112221), we get a palindrome (242211444112242).

The spelling of 122211222000021 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-two million, twenty-one", and thus it is an aban number.