122221121323333 has 2 divisors, whose sum is σ = 122221121323334. Its totient is φ = 122221121323332.

The previous prime is 122221121323309. The next prime is 122221121323417. The reversal of 122221121323333 is 333323121122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72235754702244 + 49985366621089 = 8499162^2 + 7070033^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122221121323333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122221121323295 and 122221121323304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221121323303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110560661666 + 61110560661667.

It is an arithmetic number, because the mean of its divisors is an integer number (61110560661667).

Almost surely, 2^{122221121323333} is an apocalyptic number.

It is an amenable number.

122221121323333 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221121323333 is an equidigital number, since it uses as much as digits as its factorization.

122221121323333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15552, while the sum is 31.

Adding to 122221121323333 its reverse (333323121122221), we get a palindrome (455544242445554).

The spelling of 122221121323333 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twenty-one million, three hundred twenty-three thousand, three hundred thirty-three".