123142400 has 108 divisors (see below), whose sum is σ = 310230144. Its totient is φ = 48384000.

The previous prime is 123142399. The next prime is 123142417. The reversal of 123142400 is 4241321.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454265 + ... + 454535.

Almost surely, 2^123142400 is an apocalyptic number.

123142400 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 123142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155115072).

123142400 is an abundant number, since it is smaller than the sum of its proper divisors (187087744).

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

123142400 is an equidigital number, since it uses as much as digits as its factorization.

123142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 123142400 is about 11096.9545371692. The cubic root of 123142400 is about 497.5108286154.

Adding to 123142400 its reverse (4241321), we get a palindrome (127383721).

The spelling of 123142400 in words is "one hundred twenty-three million, one hundred forty-two thousand, four hundred".