21000220001200 has 180 divisors, whose sum is σ = 55596374816080. Its totient is φ = 7617201292800.

The previous prime is 21000220001129. The next prime is 21000220001219. The reversal of 21000220001200 is 210002200012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18668341 + ... + 19761259.

Almost surely, 2^{21000220001200} is an apocalyptic number.

21000220001200 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 21000220001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27798187408040).

21000220001200 is an abundant number, since it is smaller than the sum of its proper divisors (34596154814880).

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

21000220001200 is a wasteful number, since it uses less digits than its factorization.

21000220001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093356 (or 1093334 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21000220001200 its reverse (210002200012), we get a palindrome (21210222201212).

21000220001200 divided by its reverse (210002200012) gives a square (100 = 10²).

It can be divided in two parts, 210002 and 20001200, that added together give a palindrome (20211202).

The spelling of 21000220001200 in words is "twenty-one trillion, two hundred twenty million, one thousand, two hundred".