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123123125297 is a prime number
BaseRepresentation
bin111001010101010110…
…1011100110000110001
3102202210122212210222202
41302222231130300301
54004124010002142
6132321215512545
711616051203654
oct1625255346061
9382718783882
10123123125297
1148241881407
121ba41828755
13b7c224b1c3
145d6003d89b
15330926b032
hex1caab5cc31

123123125297 has 2 divisors, whose sum is σ = 123123125298. Its totient is φ = 123123125296.

The previous prime is 123123125273. The next prime is 123123125299. The reversal of 123123125297 is 792521321321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122581213456 + 541911841 = 350116^2 + 23279^2 .

It is an emirp because it is prime and its reverse (792521321321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123123125297 is a prime.

It is a super-2 number, since 2×1231231252972 (a number of 23 digits) contains 22 as substring.

Together with 123123125299, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123123125297.

It is not a weakly prime, because it can be changed into another prime (123123125299) 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, 61561562648 + 61561562649.

It is an arithmetic number, because the mean of its divisors is an integer number (61561562649).

Almost surely, 2123123125297 is an apocalyptic number.

It is an amenable number.

123123125297 is a deficient number, since it is larger than the sum of its proper divisors (1).

123123125297 is an equidigital number, since it uses as much as digits as its factorization.

123123125297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 38.

The spelling of 123123125297 in words is "one hundred twenty-three billion, one hundred twenty-three million, one hundred twenty-five thousand, two hundred ninety-seven".