123540505321 has 16 divisors (see below), whose sum is σ = 134282995200. Its totient is φ = 113224608000.

The previous prime is 123540505261. The next prime is 123540505331. The reversal of 123540505321 is 123505045321.

It is a cyclic number.

It is not a de Polignac number, because 123540505321 - 2¹⁷ = 123540374249 is a prime.

It is a super-3 number, since 3×123540505321³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123540505331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785471 + ... + 1853371.

It is an arithmetic number, because the mean of its divisors is an integer number (8392687200).

Almost surely, 2^123540505321 is an apocalyptic number.

It is an amenable number.

123540505321 is a deficient number, since it is larger than the sum of its proper divisors (10742489879).

123540505321 is a wasteful number, since it uses less digits than its factorization.

123540505321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71040.

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 123540505321 in words is "one hundred twenty-three billion, five hundred forty million, five hundred five thousand, three hundred twenty-one".