123368780241 has 120 divisors (see below), whose sum is σ = 227395745280. Its totient is φ = 66231260928.

The previous prime is 123368780219. The next prime is 123368780279. The reversal of 123368780241 is 142087863321.

123368780241 is a `hidden beast` number, since 1 + 2 + 336 + 8 + 78 + 0 + 241 = 666.

It is not a de Polignac number, because 123368780241 - 2⁷ = 123368780113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123368780341) 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 119 ways as a sum of consecutive naturals, for example, 48511816 + ... + 48514358.

It is an arithmetic number, because the mean of its divisors is an integer number (1894964544).

Almost surely, 2^123368780241 is an apocalyptic number.

It is an amenable number.

123368780241 is a deficient number, since it is larger than the sum of its proper divisors (104026965039).

123368780241 is a wasteful number, since it uses less digits than its factorization.

123368780241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 123368780241 in words is "one hundred twenty-three billion, three hundred sixty-eight million, seven hundred eighty thousand, two hundred forty-one".