122323212310113 has 32 divisors (see below), whose sum is σ = 187555278028800. Its totient is φ = 78700343904000.

The previous prime is 122323212310097. The next prime is 122323212310147. The reversal of 122323212310113 is 311013212323221.

122323212310113 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 23 + 212 + 310 + 113 = 666.

It is not a de Polignac number, because 122323212310113 - 2⁴ = 122323212310097 is a prime.

It is a super-3 number, since 3×122323212310113³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122323212312113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34454113 + ... + 37838238.

It is an arithmetic number, because the mean of its divisors is an integer number (5861102438400).

Almost surely, 2^{122323212310113} is an apocalyptic number.

It is an amenable number.

122323212310113 is a deficient number, since it is larger than the sum of its proper divisors (65232065718687).

122323212310113 is a wasteful number, since it uses less digits than its factorization.

122323212310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72294550 (or 72294544 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122323212310113 its reverse (311013212323221), we get a palindrome (433336424633334).

The spelling of 122323212310113 in words is "one hundred twenty-two trillion, three hundred twenty-three billion, two hundred twelve million, three hundred ten thousand, one hundred thirteen".