1123117694401 has 2 divisors, whose sum is σ = 1123117694402. Its totient is φ = 1123117694400.

The previous prime is 1123117694399. The next prime is 1123117694509. The reversal of 1123117694401 is 1044967113211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 849855359376 + 273262335025 = 921876^2 + 522745^2 .

It is a cyclic number.

It is not a de Polignac number, because 1123117694401 - 2¹ = 1123117694399 is a prime.

It is a super-3 number, since 3×1123117694401³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1123117694399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1123117692401) 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, 561558847200 + 561558847201.

It is an arithmetic number, because the mean of its divisors is an integer number (561558847201).

Almost surely, 2^{1123117694401} is an apocalyptic number.

It is an amenable number.

1123117694401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1123117694401 is an equidigital number, since it uses as much as digits as its factorization.

1123117694401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 1123117694401 in words is "one trillion, one hundred twenty-three billion, one hundred seventeen million, six hundred ninety-four thousand, four hundred one".