21432442122000 has 1920 divisors, whose sum is σ = 95360596531200. Its totient is φ = 4457134080000.

The previous prime is 21432442121983. The next prime is 21432442122029. The reversal of 21432442122000 is 22124423412.

It is a happy number.

21432442122000 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 2 + 442 + 12 + 200 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5698600120 + ... + 5698603880.

It is an arithmetic number, because the mean of its divisors is an integer number (49666977360).

Almost surely, 2^{21432442122000} is an apocalyptic number.

21432442122000 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 21432442122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47680298265600).

21432442122000 is an abundant number, since it is smaller than the sum of its proper divisors (73928154409200).

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

21432442122000 is a wasteful number, since it uses less digits than its factorization.

21432442122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21432442122000 its reverse (22124423412), we get a palindrome (21454566545412).

The spelling of 21432442122000 in words is "twenty-one trillion, four hundred thirty-two billion, four hundred forty-two million, one hundred twenty-two thousand".