2201221221200 has 60 divisors (see below), whose sum is σ = 5289290057148. Its totient is φ = 880345958400.

The previous prime is 2201221221197. The next prime is 2201221221203. The reversal of 2201221221200 is 21221221022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2201221221197) and next prime (2201221221203).

It can be written as a sum of positive squares in 6 ways, for example, as 92557109824 + 2108664111376 = 304232^2 + 1452124^2 .

It is a super-2 number, since 2×2201221221200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201221221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2046104 + ... + 2930696.

Almost surely, 2^{2201221221200} is an apocalyptic number.

2201221221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201221221200 is an abundant number, since it is smaller than the sum of its proper divisors (3088068835948).

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

2201221221200 is a wasteful number, since it uses less digits than its factorization.

2201221221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890832 (or 890821 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2201221221200 its reverse (21221221022), we get a palindrome (2222442442222).

The spelling of 2201221221200 in words is "two trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".