21221132313200 has 120 divisors (see below), whose sum is σ = 51355083116400. Its totient is φ = 8426696601600.

The previous prime is 21221132313197. The next prime is 21221132313211. The reversal of 21221132313200 is 231323112212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105809015 + ... + 106009385.

It is an arithmetic number, because the mean of its divisors is an integer number (427959025970).

Almost surely, 2^{21221132313200} is an apocalyptic number.

21221132313200 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 21221132313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25677541558200).

21221132313200 is an abundant number, since it is smaller than the sum of its proper divisors (30133950803200).

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

21221132313200 is a wasteful number, since it uses less digits than its factorization.

21221132313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202315 (or 202304 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21221132313200 its reverse (231323112212), we get a palindrome (21452455425412).

The spelling of 21221132313200 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred".