21200012000000 has 126 divisors (see below), whose sum is σ = 52895847221364. Its totient is φ = 8480003200000.

The previous prime is 21200011999967. The next prime is 21200012000023. The reversal of 21200012000000 is 21000212.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 13 ways as a sum of consecutive naturals, for example, 1349999 + ... + 6650001.

Almost surely, 2^{21200012000000} is an apocalyptic number.

21200012000000 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 21200012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447923610682).

21200012000000 is an abundant number, since it is smaller than the sum of its proper divisors (31695835221364).

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

21200012000000 is an frugal number, since it uses more digits than its factorization.

21200012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300049 (or 5300010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 21200012000000 its reverse (21000212), we get a palindrome (21200033000212).

The spelling of 21200012000000 in words is "twenty-one trillion, two hundred billion, twelve million", and thus it is an aban number.