122302203221133 has 96 divisors (see below), whose sum is σ = 199114981228800. Its totient is φ = 71774816965632.

The previous prime is 122302203221123. The next prime is 122302203221141. The reversal of 122302203221133 is 331122302203221.

122302203221133 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 220 + 322 + 113 + 3 = 666.

It is not a de Polignac number, because 122302203221133 - 2⁶ = 122302203221069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122302203221097 and 122302203221106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122302203221123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2574054985 + ... + 2574102497.

It is an arithmetic number, because the mean of its divisors is an integer number (2074114387800).

Almost surely, 2^{122302203221133} is an apocalyptic number.

122302203221133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122302203221133 is a deficient number, since it is larger than the sum of its proper divisors (76812778007667).

122302203221133 is a wasteful number, since it uses less digits than its factorization.

122302203221133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50403 (or 50400 counting only the distinct ones).

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

Adding to 122302203221133 its reverse (331122302203221), we get a palindrome (453424505424354).

The spelling of 122302203221133 in words is "one hundred twenty-two trillion, three hundred two billion, two hundred three million, two hundred twenty-one thousand, one hundred thirty-three".