21124125200 has 120 divisors (see below), whose sum is σ = 54750868488. Its totient is φ = 7802429440.

The previous prime is 21124125181. The next prime is 21124125227. The reversal of 21124125200 is 252142112.

It can be written as a sum of positive squares in 12 ways, for example, as 175615504 + 20948509696 = 13252^2 + 144736^2 .

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

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, 331094 + ... + 389706.

Almost surely, 2^21124125200 is an apocalyptic number.

21124125200 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 21124125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27375434244).

21124125200 is an abundant number, since it is smaller than the sum of its proper divisors (33626743288).

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

21124125200 is a wasteful number, since it uses less digits than its factorization.

21124125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58701 (or 58690 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 21124125200 its reverse (252142112), we get a palindrome (21376267312).

The spelling of 21124125200 in words is "twenty-one billion, one hundred twenty-four million, one hundred twenty-five thousand, two hundred".