123505123077 has 24 divisors (see below), whose sum is σ = 203905403520. Its totient is φ = 70566072480.

The previous prime is 123505123067. The next prime is 123505123087. The reversal of 123505123077 is 770321505321.

It is a happy number.

123505123077 is a `hidden beast` number, since 1 + 2 + 350 + 5 + 1 + 230 + 77 = 666.

It is an interprime number because it is at equal distance from previous prime (123505123067) and next prime (123505123087).

It is not a de Polignac number, because 123505123077 - 2⁶ = 123505123013 is a prime.

It is a super-3 number, since 3×123505123077³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123505123067) 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 in 23 ways as a sum of consecutive naturals, for example, 447624 + ... + 668862.

It is an arithmetic number, because the mean of its divisors is an integer number (8496058480).

Almost surely, 2^123505123077 is an apocalyptic number.

It is an amenable number.

123505123077 is a deficient number, since it is larger than the sum of its proper divisors (80400280443).

123505123077 is a wasteful number, since it uses less digits than its factorization.

123505123077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230113 (or 230110 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

Adding to 123505123077 its reverse (770321505321), we get a palindrome (893826628398).

The spelling of 123505123077 in words is "one hundred twenty-three billion, five hundred five million, one hundred twenty-three thousand, seventy-seven".