21123600 has 120 divisors (see below), whose sum is σ = 70114560. Its totient is φ = 5429760.

The previous prime is 21123589. The next prime is 21123607. The reversal of 21123600 is 632112.

It is a tau number, because it is divible by the number of its divisors (120).

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 21123600.

It is not an unprimeable number, because it can be changed into a prime (21123607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34497 + ... + 35103.

It is an arithmetic number, because the mean of its divisors is an integer number (584288).

Almost surely, 2^21123600 is an apocalyptic number.

21123600 is a gapful number since it is divisible by the number (20) 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 21123600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35057280).

21123600 is an abundant number, since it is smaller than the sum of its proper divisors (48990960).

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

21123600 is a wasteful number, since it uses less digits than its factorization.

21123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 21123600 is about 4596.0417752671. The cubic root of 21123600 is about 276.4326338155.

Adding to 21123600 its reverse (632112), we get a palindrome (21755712).

The spelling of 21123600 in words is "twenty-one million, one hundred twenty-three thousand, six hundred".