122033123029 has 2 divisors, whose sum is σ = 122033123030. Its totient is φ = 122033123028.

The previous prime is 122033122951. The next prime is 122033123033. The reversal of 122033123029 is 920321330221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121398586929 + 634536100 = 348423^2 + 25190^2 .

It is a cyclic number.

It is not a de Polignac number, because 122033123029 - 2⁷ = 122033122901 is a prime.

It is a super-2 number, since 2×122033123029² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122033122988 and 122033123006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122033163029) 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 as a sum of consecutive naturals, namely, 61016561514 + 61016561515.

It is an arithmetic number, because the mean of its divisors is an integer number (61016561515).

Almost surely, 2^122033123029 is an apocalyptic number.

It is an amenable number.

122033123029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122033123029 is an equidigital number, since it uses as much as digits as its factorization.

122033123029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 122033123029 in words is "one hundred twenty-two billion, thirty-three million, one hundred twenty-three thousand, twenty-nine".