123000400 has 90 divisors (see below), whose sum is σ = 304642766. Its totient is φ = 47712000.

The previous prime is 123000391. The next prime is 123000419. The reversal of 123000400 is 4000321.

It can be written as a sum of positive squares in 3 ways, for example, as 322624 + 122677776 = 568^2 + 11076^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1732365 + ... + 1732435.

Almost surely, 2^123000400 is an apocalyptic number.

123000400 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 123000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152321383).

123000400 is an abundant number, since it is smaller than the sum of its proper divisors (181642366).

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

123000400 is an equidigital number, since it uses as much as digits as its factorization.

123000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 123000400 is about 11090.5545397874. The cubic root of 123000400 is about 497.3195224254.

Adding to 123000400 its reverse (4000321), we get a palindrome (127000721).

The spelling of 123000400 in words is "one hundred twenty-three million, four hundred", and thus it is an aban number.