21124422000 has 960 divisors, whose sum is σ = 86135736960. Its totient is φ = 4942080000.

The previous prime is 21124421971. The next prime is 21124422019. The reversal of 21124422000 is 22442112.

21124422000 is a `hidden beast` number, since 21 + 1 + 2 + 442 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346301970 + ... + 346302030.

It is an arithmetic number, because the mean of its divisors is an integer number (89724726).

Almost surely, 2^21124422000 is an apocalyptic number.

21124422000 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 21124422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43067868480).

21124422000 is an abundant number, since it is smaller than the sum of its proper divisors (65011314960).

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

21124422000 is a wasteful number, since it uses less digits than its factorization.

21124422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21124422000 its reverse (22442112), we get a palindrome (21146864112).

The spelling of 21124422000 in words is "twenty-one billion, one hundred twenty-four million, four hundred twenty-two thousand".