123531200 has 84 divisors (see below), whose sum is σ = 327400920. Its totient is φ = 45603840.

The previous prime is 123531173. The next prime is 123531203. The reversal of 123531200 is 2135321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123531203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17831 + ... + 23769.

It is an arithmetic number, because the mean of its divisors is an integer number (3897630).

Almost surely, 2^123531200 is an apocalyptic number.

123531200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163700460).

123531200 is an abundant number, since it is smaller than the sum of its proper divisors (203869720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123531200 is a wasteful number, since it uses less digits than its factorization.

123531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 123531200 is about 11114.4590511639. The cubic root of 123531200 is about 498.0338788691.

Adding to 123531200 its reverse (2135321), we get a palindrome (125666521).

The spelling of 123531200 in words is "one hundred twenty-three million, five hundred thirty-one thousand, two hundred".