1123345416001 has 2 divisors, whose sum is σ = 1123345416002. Its totient is φ = 1123345416000.

The previous prime is 1123345415999. The next prime is 1123345416073. The reversal of 1123345416001 is 1006145433211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1022333321025 + 101012094976 = 1011105^2 + 317824^2 .

It is a cyclic number.

It is not a de Polignac number, because 1123345416001 - 2¹ = 1123345415999 is a prime.

Together with 1123345415999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1123645416001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561672708000 + 561672708001.

It is an arithmetic number, because the mean of its divisors is an integer number (561672708001).

Almost surely, 2^{1123345416001} is an apocalyptic number.

It is an amenable number.

1123345416001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1123345416001 is an equidigital number, since it uses as much as digits as its factorization.

1123345416001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 1123345416001 in words is "one trillion, one hundred twenty-three billion, three hundred forty-five million, four hundred sixteen thousand, one".