122214400000221 has 16 divisors (see below), whose sum is σ = 170037707304960. Its totient is φ = 77933691398640.

The previous prime is 122214400000211. The next prime is 122214400000309. The reversal of 122214400000221 is 122000004412221.

It is not a de Polignac number, because 122214400000221 - 2¹⁹ = 122214399475933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122214400000211) 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 15 ways as a sum of consecutive naturals, for example, 57824316 + ... + 59900586.

It is an arithmetic number, because the mean of its divisors is an integer number (10627356706560).

Almost surely, 2^{122214400000221} is an apocalyptic number.

It is an amenable number.

122214400000221 is a deficient number, since it is larger than the sum of its proper divisors (47823307304739).

122214400000221 is a wasteful number, since it uses less digits than its factorization.

122214400000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929376.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 122214400000221 its reverse (122000004412221), we get a palindrome (244214404412442).

The spelling of 122214400000221 in words is "one hundred twenty-two trillion, two hundred fourteen billion, four hundred million, two hundred twenty-one", and thus it is an aban number.