123200133231141 has 12 divisors (see below), whose sum is σ = 177956353379532. Its totient is φ = 82133142748416.

The previous prime is 123200133231121. The next prime is 123200133231179. The reversal of 123200133231141 is 141132331002321.

123200133231141 is a `hidden beast` number, since 1 + 2 + 320 + 0 + 1 + 3 + 323 + 1 + 14 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53876275282116 + 69323857949025 = 7340046^2 + 8326095^2 .

It is not a de Polignac number, because 123200133231141 - 2¹¹ = 123200133229093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200133231121) 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 11 ways as a sum of consecutive naturals, for example, 20473356 + ... + 25798421.

It is an arithmetic number, because the mean of its divisors is an integer number (14829696114961).

Almost surely, 2^{123200133231141} is an apocalyptic number.

It is an amenable number.

123200133231141 is a deficient number, since it is larger than the sum of its proper divisors (54756220148391).

123200133231141 is a wasteful number, since it uses less digits than its factorization.

123200133231141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46567620 (or 46567617 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123200133231141 its reverse (141132331002321), we get a palindrome (264332464233462).

The spelling of 123200133231141 in words is "one hundred twenty-three trillion, two hundred billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred forty-one".