221213331121200 has 1920 divisors, whose sum is σ = 816432157569024. Its totient is φ = 50736660480000.

The previous prime is 221213331121171. The next prime is 221213331121217. The reversal of 221213331121200 is 2121133312122.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 626666660224 + ... + 626666660576.

Almost surely, 2^{221213331121200} is an apocalyptic number.

221213331121200 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 221213331121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408216078784512).

221213331121200 is an abundant number, since it is smaller than the sum of its proper divisors (595218826447824).

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

221213331121200 is a wasteful number, since it uses less digits than its factorization.

221213331121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

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

Adding to 221213331121200 its reverse (2121133312122), we get a palindrome (223334464433322).

It can be divided in two parts, 2212133 and 31121200, that added together give a palindrome (33333333).

The spelling of 221213331121200 in words is "two hundred twenty-one trillion, two hundred thirteen billion, three hundred thirty-one million, one hundred twenty-one thousand, two hundred".