122000416321 has 16 divisors (see below), whose sum is σ = 146115650304. Its totient is φ = 99595862784.

The previous prime is 122000416297. The next prime is 122000416399. The reversal of 122000416321 is 123614000221.

It is a cyclic number.

It is not a de Polignac number, because 122000416321 - 2²¹ = 121998319169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122000416292 and 122000416301.

It is not an unprimeable number, because it can be changed into a prime (122000411321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588596 + ... + 1663621.

It is an arithmetic number, because the mean of its divisors is an integer number (9132228144).

Almost surely, 2^122000416321 is an apocalyptic number.

It is an amenable number.

122000416321 is a deficient number, since it is larger than the sum of its proper divisors (24115233983).

122000416321 is a wasteful number, since it uses less digits than its factorization.

122000416321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252480.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122000416321 its reverse (123614000221), we get a palindrome (245614416542).

The spelling of 122000416321 in words is "one hundred twenty-two billion, four hundred sixteen thousand, three hundred twenty-one".