221321413465200 has 600 divisors, whose sum is σ = 798791306227200. Its totient is φ = 58686027724800.

The previous prime is 221321413465193. The next prime is 221321413465211. The reversal of 221321413465200 is 2564314123122.

It is a happy number.

221321413465200 is a `hidden beast` number, since 2 + 2 + 1 + 32 + 1 + 413 + 4 + 6 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×221321413465200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12440068305 + ... + 12440086095.

It is an arithmetic number, because the mean of its divisors is an integer number (1331318843712).

Almost surely, 2^{221321413465200} is an apocalyptic number.

221321413465200 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 221321413465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399395653113600).

221321413465200 is an abundant number, since it is smaller than the sum of its proper divisors (577469892762000).

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

221321413465200 is a wasteful number, since it uses less digits than its factorization.

221321413465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19967 (or 19947 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 221321413465200 its reverse (2564314123122), we get a palindrome (223885727588322).

The spelling of 221321413465200 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, four hundred thirteen million, four hundred sixty-five thousand, two hundred".