21121441000 has 128 divisors (see below), whose sum is σ = 54089493120. Its totient is φ = 7656000000.

The previous prime is 21121440997. The next prime is 21121441031. The reversal of 21121441000 is 14412112.

It is a happy number.

It is a super-2 number, since 2×21121441000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3638100 + ... + 3643900.

It is an arithmetic number, because the mean of its divisors is an integer number (422574165).

Almost surely, 2^21121441000 is an apocalyptic number.

21121441000 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 21121441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27044746560).

21121441000 is an abundant number, since it is smaller than the sum of its proper divisors (32968052120).

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

21121441000 is a wasteful number, since it uses less digits than its factorization.

21121441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21121441000 its reverse (14412112), we get a palindrome (21135853112).

The spelling of 21121441000 in words is "twenty-one billion, one hundred twenty-one million, four hundred forty-one thousand".