123621600 has 144 divisors (see below), whose sum is σ = 423722880. Its totient is φ = 31219200.

The previous prime is 123621571. The next prime is 123621629. The reversal of 123621600 is 6126321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123621571) and next prime (123621629).

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 23 ways as a sum of consecutive naturals, for example, 44245 + ... + 46955.

It is an arithmetic number, because the mean of its divisors is an integer number (2942520).

Almost surely, 2^123621600 is an apocalyptic number.

123621600 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 123621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211861440).

123621600 is an abundant number, since it is smaller than the sum of its proper divisors (300101280).

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

123621600 is a wasteful number, since it uses less digits than its factorization.

123621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 123621600 is about 11118.5250820421. The cubic root of 123621600 is about 498.1553361331.

Adding to 123621600 its reverse (6126321), we get a palindrome (129747921).

The spelling of 123621600 in words is "one hundred twenty-three million, six hundred twenty-one thousand, six hundred".