21200211120 has 160 divisors (see below), whose sum is σ = 73444299264. Its totient is φ = 5014067200.

The previous prime is 21200211119. The next prime is 21200211143. The reversal of 21200211120 is 2111200212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21200211096 and 21200211105.

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 31 ways as a sum of consecutive naturals, for example, 10309 + ... + 206171.

Almost surely, 2^21200211120 is an apocalyptic number.

21200211120 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 21200211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36722149632).

21200211120 is an abundant number, since it is smaller than the sum of its proper divisors (52244088144).

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

21200211120 is a wasteful number, since it uses less digits than its factorization.

21200211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195931 (or 195925 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21200211120 its reverse (2111200212), we get a palindrome (23311411332).

The spelling of 21200211120 in words is "twenty-one billion, two hundred million, two hundred eleven thousand, one hundred twenty".