21311120000 has 160 divisors (see below), whose sum is σ = 53258826720. Its totient is φ = 8491392000.

The previous prime is 21311119993. The next prime is 21311120011. The reversal of 21311120000 is 2111312.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 38959727 + ... + 38960273.

It is an arithmetic number, because the mean of its divisors is an integer number (332867667).

Almost surely, 2^21311120000 is an apocalyptic number.

21311120000 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 21311120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26629413360).

21311120000 is an abundant number, since it is smaller than the sum of its proper divisors (31947706720).

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

21311120000 is an frugal number, since it uses more digits than its factorization.

21311120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21311120000 its reverse (2111312), we get a palindrome (21313231312).

The spelling of 21311120000 in words is "twenty-one billion, three hundred eleven million, one hundred twenty thousand".