221332131121200 has 480 divisors, whose sum is σ = 810321958551552. Its totient is φ = 51150413952000.

The previous prime is 221332131121193. The next prime is 221332131121219. The reversal of 221332131121200 is 2121131233122.

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 95 ways as a sum of consecutive naturals, for example, 23379909 + ... + 31452891.

Almost surely, 2^{221332131121200} is an apocalyptic number.

221332131121200 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 221332131121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405160979275776).

221332131121200 is an abundant number, since it is smaller than the sum of its proper divisors (588989827430352).

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

221332131121200 is a wasteful number, since it uses less digits than its factorization.

221332131121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8073113 (or 8073102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 221332131121200 its reverse (2121131233122), we get a palindrome (223453262354322).

The spelling of 221332131121200 in words is "two hundred twenty-one trillion, three hundred thirty-two billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred".