123541200 has 360 divisors, whose sum is σ = 470136576. Its totient is φ = 31104000.

The previous prime is 123541199. The next prime is 123541213. The reversal of 123541200 is 2145321.

Added to its reverse (2145321) it gives a square (125686521 = 11211²).

123541200 is a `hidden beast` number, since 123 + 541 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3013180 + ... + 3013220.

Almost surely, 2^123541200 is an apocalyptic number.

123541200 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 123541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235068288).

123541200 is an abundant number, since it is smaller than the sum of its proper divisors (346595376).

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

123541200 is a wasteful number, since it uses less digits than its factorization.

123541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

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

The square root of 123541200 is about 11114.9089065093. The cubic root of 123541200 is about 498.0473173214.

Adding to 123541200 its reverse (2145321), we get a palindrome (125686521).

The spelling of 123541200 in words is "one hundred twenty-three million, five hundred forty-one thousand, two hundred".