123385056075 has 36 divisors (see below), whose sum is σ = 233996137128. Its totient is φ = 61934457600.

The previous prime is 123385056071. The next prime is 123385056077. The reversal of 123385056075 is 570650583321.

123385056075 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 85 + 0 + 560 + 7 + 5 = 666.

It is not a de Polignac number, because 123385056075 - 2² = 123385056071 is a prime.

It is a super-3 number, since 3×123385056075³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 123385056075.

It is not an unprimeable number, because it can be changed into a prime (123385056071) 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 35 ways as a sum of consecutive naturals, for example, 16124941 + ... + 16132590.

It is an arithmetic number, because the mean of its divisors is an integer number (6499892698).

Almost surely, 2^123385056075 is an apocalyptic number.

123385056075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123385056075 is a deficient number, since it is larger than the sum of its proper divisors (110611081053).

123385056075 is a wasteful number, since it uses less digits than its factorization.

123385056075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32257564 (or 32257556 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 123385056075 in words is "one hundred twenty-three billion, three hundred eighty-five million, fifty-six thousand, seventy-five".