123345510254401 has 2 divisors, whose sum is σ = 123345510254402. Its totient is φ = 123345510254400.

The previous prime is 123345510254387. The next prime is 123345510254411. The reversal of 123345510254401 is 104452015543321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71470944494401 + 51874565760000 = 8454049^2 + 7202400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123345510254401 is a prime.

It is a super-2 number, since 2×123345510254401² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123345510254411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61672755127200 + 61672755127201.

It is an arithmetic number, because the mean of its divisors is an integer number (61672755127201).

Almost surely, 2^{123345510254401} is an apocalyptic number.

It is an amenable number.

123345510254401 is a deficient number, since it is larger than the sum of its proper divisors (1).

123345510254401 is an equidigital number, since it uses as much as digits as its factorization.

123345510254401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 123345510254401 its reverse (104452015543321), we get a palindrome (227797525797722).

The spelling of 123345510254401 in words is "one hundred twenty-three trillion, three hundred forty-five billion, five hundred ten million, two hundred fifty-four thousand, four hundred one".