123200541 has 64 divisors (see below), whose sum is σ = 203161600. Its totient is φ = 73483200.

The previous prime is 123200533. The next prime is 123200551. The reversal of 123200541 is 145002321.

123200541 is a `hidden beast` number, since 123 + 2 + 0 + 0 + 541 = 666.

It is not a de Polignac number, because 123200541 - 2³ = 123200533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 970020 + ... + 970146.

It is an arithmetic number, because the mean of its divisors is an integer number (3174400).

Almost surely, 2^123200541 is an apocalyptic number.

It is an amenable number.

123200541 is a deficient number, since it is larger than the sum of its proper divisors (79961059).

123200541 is a wasteful number, since it uses less digits than its factorization.

123200541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 123200541 is about 11099.5739107409. The cubic root of 123200541 is about 497.5891152871.

Adding to 123200541 its reverse (145002321), we get a palindrome (268202862).

The spelling of 123200541 in words is "one hundred twenty-three million, two hundred thousand, five hundred forty-one".