123201040481 has 2 divisors, whose sum is σ = 123201040482. Its totient is φ = 123201040480.

The previous prime is 123201040429. The next prime is 123201040483. The reversal of 123201040481 is 184040102321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96793165456 + 26407875025 = 311116^2 + 162505^2 .

It is a cyclic number.

It is not a de Polignac number, because 123201040481 - 2¹⁰ = 123201039457 is a prime.

It is a super-3 number, since 3×123201040481³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 123201040483, 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 123201040481.

It is not a weakly prime, because it can be changed into another prime (123201040483) 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, 61600520240 + 61600520241.

It is an arithmetic number, because the mean of its divisors is an integer number (61600520241).

Almost surely, 2^123201040481 is an apocalyptic number.

It is an amenable number.

123201040481 is a deficient number, since it is larger than the sum of its proper divisors (1).

123201040481 is an equidigital number, since it uses as much as digits as its factorization.

123201040481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 123201040481 in words is "one hundred twenty-three billion, two hundred one million, forty thousand, four hundred eighty-one".