122223020312133 has 56 divisors (see below), whose sum is σ = 197467488094968. Its totient is φ = 75168210460032.

The previous prime is 122223020312101. The next prime is 122223020312161. The reversal of 122223020312133 is 331213020322221.

122223020312133 is a `hidden beast` number, since 1 + 2 + 222 + 302 + 0 + 3 + 1 + 2 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11313118796004 + 110909901516129 = 3363498^2 + 10531377^2 .

It is not a de Polignac number, because 122223020312133 - 2⁵ = 122223020312101 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 122223020312097 and 122223020312106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122223020312033) 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 55 ways as a sum of consecutive naturals, for example, 11574691 + ... + 19453007.

It is an arithmetic number, because the mean of its divisors is an integer number (3526205144553).

Almost surely, 2^{122223020312133} is an apocalyptic number.

122223020312133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122223020312133 is a deficient number, since it is larger than the sum of its proper divisors (75244467782835).

122223020312133 is an equidigital number, since it uses as much as digits as its factorization.

122223020312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879985 (or 7879970 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122223020312133 its reverse (331213020322221), we get a palindrome (453436040634354).

The spelling of 122223020312133 in words is "one hundred twenty-two trillion, two hundred twenty-three billion, twenty million, three hundred twelve thousand, one hundred thirty-three".