123112500 has 216 divisors, whose sum is σ = 423910368. Its totient is φ = 27720000.

The previous prime is 123112469. The next prime is 123112513. The reversal of 123112500 is 5211321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123112500.

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 71 ways as a sum of consecutive naturals, for example, 1837467 + ... + 1837533.

It is an arithmetic number, because the mean of its divisors is an integer number (1962548).

Almost surely, 2^123112500 is an apocalyptic number.

123112500 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 123112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211955184).

123112500 is an abundant number, since it is smaller than the sum of its proper divisors (300797868).

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

123112500 is an equidigital number, since it uses as much as digits as its factorization.

123112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 123112500 is about 11095.6072389032. The cubic root of 123112500 is about 497.4705587655.

Adding to 123112500 its reverse (5211321), we get a palindrome (128323821).

It can be divided in two parts, 1231 and 12500, that added together give a palindrome (13731).

The spelling of 123112500 in words is "one hundred twenty-three million, one hundred twelve thousand, five hundred".