123242400 has 108 divisors (see below), whose sum is σ = 434608902. Its totient is φ = 32862720.

The previous prime is 123242393. The next prime is 123242407. The reversal of 123242400 is 4242321.

123242400 is a `hidden beast` number, since 1 + 23 + 242 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (123242393) and next prime (123242407).

It can be written as a sum of positive squares in 3 ways, for example, as 46294416 + 76947984 = 6804^2 + 8772^2 .

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

It is not an unprimeable number, because it can be changed into a prime (123242407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1359 + ... + 15758.

Almost surely, 2^123242400 is an apocalyptic number.

123242400 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 123242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217304451).

123242400 is an abundant number, since it is smaller than the sum of its proper divisors (311366502).

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

123242400 is a wasteful number, since it uses less digits than its factorization.

123242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17143 (or 17127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 123242400 is about 11101.4593635251. The cubic root of 123242400 is about 497.6454630491.

Adding to 123242400 its reverse (4242321), we get a palindrome (127484721).

The spelling of 123242400 in words is "one hundred twenty-three million, two hundred forty-two thousand, four hundred".