21132233212200 has 192 divisors, whose sum is σ = 71521100928000. Its totient is φ = 5118970617600.

The previous prime is 21132233212171. The next prime is 21132233212219. The reversal of 21132233212200 is 221233223112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7220001 + ... + 9715599.

It is an arithmetic number, because the mean of its divisors is an integer number (372505734000).

Almost surely, 2^{21132233212200} is an apocalyptic number.

21132233212200 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 21132233212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35760550464000).

21132233212200 is an abundant number, since it is smaller than the sum of its proper divisors (50388867715800).

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

21132233212200 is a wasteful number, since it uses less digits than its factorization.

21132233212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496912 (or 2496903 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21132233212200 its reverse (221233223112), we get a palindrome (21353466435312).

The spelling of 21132233212200 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred thirty-three million, two hundred twelve thousand, two hundred".