122401444322411 has 8 divisors (see below), whose sum is σ = 126766374465024. Its totient is φ = 118109874350440.

The previous prime is 122401444322401. The next prime is 122401444322447. The reversal of 122401444322411 is 114223444104221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122401444322411 is a prime.

It is a super-3 number, since 3×122401444322411³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122401444322401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18340039265 + ... + 18340045938.

It is an arithmetic number, because the mean of its divisors is an integer number (15845796808128).

Almost surely, 2^{122401444322411} is an apocalyptic number.

122401444322411 is a deficient number, since it is larger than the sum of its proper divisors (4364930142613).

122401444322411 is an equidigital number, since it uses as much as digits as its factorization.

122401444322411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36680085321.

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 122401444322411 its reverse (114223444104221), we get a palindrome (236624888426632).

The spelling of 122401444322411 in words is "one hundred twenty-two trillion, four hundred one billion, four hundred forty-four million, three hundred twenty-two thousand, four hundred eleven".