122819431319 has 16 divisors (see below), whose sum is σ = 132607672512. Its totient is φ = 113080209408.

The previous prime is 122819431313. The next prime is 122819431331. The reversal of 122819431319 is 913134918221.

It is a cyclic number.

It is not a de Polignac number, because 122819431319 - 2¹⁶ = 122819365783 is a prime.

It is a super-2 number, since 2×122819431319² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122819431319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122819431313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9181574 + ... + 9194940.

It is an arithmetic number, because the mean of its divisors is an integer number (8287979532).

Almost surely, 2^122819431319 is an apocalyptic number.

122819431319 is a deficient number, since it is larger than the sum of its proper divisors (9788241193).

122819431319 is a wasteful number, since it uses less digits than its factorization.

122819431319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15146.

The product of its digits is 93312, while the sum is 44.

The spelling of 122819431319 in words is "one hundred twenty-two billion, eight hundred nineteen million, four hundred thirty-one thousand, three hundred nineteen".