123344400 has 240 divisors, whose sum is σ = 426222720. Its totient is φ = 30412800.

The previous prime is 123344399. The next prime is 123344407. The reversal of 123344400 is 4443321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×123344400² = 30427682022720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123344407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1131546 + ... + 1131654.

It is an arithmetic number, because the mean of its divisors is an integer number (1775928).

Almost surely, 2^123344400 is an apocalyptic number.

123344400 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 123344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213111360).

123344400 is an abundant number, since it is smaller than the sum of its proper divisors (302878320).

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

123344400 is a wasteful number, since it uses less digits than its factorization.

123344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 123344400 is about 11106.0524039823. The cubic root of 123344400 is about 497.7827151638.

Adding to 123344400 its reverse (4443321), we get a palindrome (127787721).

The spelling of 123344400 in words is "one hundred twenty-three million, three hundred forty-four thousand, four hundred".