122201312319 has 24 divisors (see below), whose sum is σ = 176740763472. Its totient is φ = 81362511360.

The previous prime is 122201312243. The next prime is 122201312341. The reversal of 122201312319 is 913213102221.

122201312319 is a `hidden beast` number, since 12 + 2 + 20 + 1 + 312 + 319 = 666.

It is not a de Polignac number, because 122201312319 - 2⁹ = 122201311807 is a prime.

It is a super-2 number, since 2×122201312319² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201312292 and 122201312301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201312419) 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 23 ways as a sum of consecutive naturals, for example, 36950664 + ... + 36953970.

It is an arithmetic number, because the mean of its divisors is an integer number (7364198478).

Almost surely, 2^122201312319 is an apocalyptic number.

122201312319 is a deficient number, since it is larger than the sum of its proper divisors (54539451153).

122201312319 is a wasteful number, since it uses less digits than its factorization.

122201312319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7367 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 122201312319 in words is "one hundred twenty-two billion, two hundred one million, three hundred twelve thousand, three hundred nineteen".