122320133 has 8 divisors (see below), whose sum is σ = 131854968. Its totient is φ = 112803264.

The previous prime is 122320123. The next prime is 122320147. The reversal of 122320133 is 331023221.

It can be written as a sum of positive squares in 4 ways, for example, as 813604 + 121506529 = 902^2 + 11023^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 122320133 - 2⁶ = 122320069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122320123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11891 + ... + 19647.

It is an arithmetic number, because the mean of its divisors is an integer number (16481871).

Almost surely, 2^122320133 is an apocalyptic number.

122320133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122320133 is a deficient number, since it is larger than the sum of its proper divisors (9534835).

122320133 is a wasteful number, since it uses less digits than its factorization.

122320133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 122320133 is about 11059.8432629039. The cubic root of 122320133 is about 496.4010005622.

Adding to 122320133 its reverse (331023221), we get a palindrome (453343354).

The spelling of 122320133 in words is "one hundred twenty-two million, three hundred twenty thousand, one hundred thirty-three".