123354400 has 144 divisors (see below), whose sum is σ = 336306600. Its totient is φ = 43868160.

The previous prime is 123354391. The next prime is 123354409. The reversal of 123354400 is 4453321.

It is an interprime number because it is at equal distance from previous prime (123354391) and next prime (123354409).

It can be written as a sum of positive squares in 12 ways, for example, as 11587216 + 111767184 = 3404^2 + 10572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123354409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301396 + ... + 301804.

Almost surely, 2^123354400 is an apocalyptic number.

123354400 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 123354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168153300).

123354400 is an abundant number, since it is smaller than the sum of its proper divisors (212952200).

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

123354400 is a wasteful number, since it uses less digits than its factorization.

123354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 123354400 is about 11106.5025998286. The cubic root of 123354400 is about 497.7961671801.

The spelling of 123354400 in words is "one hundred twenty-three million, three hundred fifty-four thousand, four hundred".