1123022123129 has 2 divisors, whose sum is σ = 1123022123130. Its totient is φ = 1123022123128.

The previous prime is 1123022123099. The next prime is 1123022123149. The reversal of 1123022123129 is 9213212203211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1119237043600 + 3785079529 = 1057940^2 + 61523^2 .

It is a cyclic number.

It is not a de Polignac number, because 1123022123129 - 2¹⁶ = 1123022057593 is a prime.

It is a super-3 number, since 3×1123022123129³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1123022123149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561511061564 + 561511061565.

It is an arithmetic number, because the mean of its divisors is an integer number (561511061565).

Almost surely, 2^{1123022123129} is an apocalyptic number.

It is an amenable number.

1123022123129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1123022123129 is an equidigital number, since it uses as much as digits as its factorization.

1123022123129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 1123022123129 in words is "one trillion, one hundred twenty-three billion, twenty-two million, one hundred twenty-three thousand, one hundred twenty-nine".