21124214300 has 144 divisors (see below), whose sum is σ = 54851489280. Its totient is φ = 6904170240.

The previous prime is 21124214257. The next prime is 21124214317. The reversal of 21124214300 is 341242112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5101631 + ... + 5105769.

It is an arithmetic number, because the mean of its divisors is an integer number (380913120).

Almost surely, 2^21124214300 is an apocalyptic number.

21124214300 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 21124214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27425744640).

21124214300 is an abundant number, since it is smaller than the sum of its proper divisors (33727274980).

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

21124214300 is a wasteful number, since it uses less digits than its factorization.

21124214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21124214300 its reverse (341242112), we get a palindrome (21465456412).

The spelling of 21124214300 in words is "twenty-one billion, one hundred twenty-four million, two hundred fourteen thousand, three hundred".