123826200 has 96 divisors (see below), whose sum is σ = 392117760. Its totient is φ = 32310400.

The previous prime is 123826189. The next prime is 123826207. The reversal of 123826200 is 2628321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123826207) 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 23 ways as a sum of consecutive naturals, for example, 26005 + ... + 30395.

It is an arithmetic number, because the mean of its divisors is an integer number (4084560).

Almost surely, 2^123826200 is an apocalyptic number.

123826200 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 123826200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196058880).

123826200 is an abundant number, since it is smaller than the sum of its proper divisors (268291560).

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

123826200 is a wasteful number, since it uses less digits than its factorization.

123826200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 123826200 is about 11127.7221388746. The cubic root of 123826200 is about 498.4300087480.

The spelling of 123826200 in words is "one hundred twenty-three million, eight hundred twenty-six thousand, two hundred".