123481257201 has 9 divisors (see below), whose sum is σ = 178363338699. Its totient is φ = 82320135336.

The previous prime is 123481257169. The next prime is 123481257269. The reversal of 123481257201 is 102752184321.

The square root of 123481257201 is 351399.

It is a perfect power (a square), and thus also a powerful number.

123481257201 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 81 + 2 + 572 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122769648225 + 711608976 = 350385^2 + 26676^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 123481257201 - 2⁵ = 123481257169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123481256201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 995631 + ... + 1112763.

Almost surely, 2^123481257201 is an apocalyptic number.

123481257201 is the 351399-th square number.

123481257201 is the 175700-th centered octagonal number.

It is an amenable number.

123481257201 is a deficient number, since it is larger than the sum of its proper divisors (54882081498).

123481257201 is an frugal number, since it uses more digits than its factorization.

123481257201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234272 (or 117136 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 123481257201 by its sum of digits (36), we get a square (4445325259236 = 2108394²).

The spelling of 123481257201 in words is "one hundred twenty-three billion, four hundred eighty-one million, two hundred fifty-seven thousand, two hundred one".