123268400 has 60 divisors (see below), whose sum is σ = 305736384. Its totient is φ = 47712000.

The previous prime is 123268399. The next prime is 123268429. The reversal of 123268400 is 4862321.

It is a self number, because there is not a number n which added to its sum of digits gives 123268400.

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, 7430 + ... + 17370.

Almost surely, 2^123268400 is an apocalyptic number.

123268400 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 123268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152868192).

123268400 is an abundant number, since it is smaller than the sum of its proper divisors (182467984).

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

123268400 is a wasteful number, since it uses less digits than its factorization.

123268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 123268400 is about 11102.6303189830. The cubic root of 123268400 is about 497.6804560717.

The spelling of 123268400 in words is "one hundred twenty-three million, two hundred sixty-eight thousand, four hundred".