221213000032200 has 288 divisors, whose sum is σ = 832347885432960. Its totient is φ = 52178004748800.

The previous prime is 221213000032187. The next prime is 221213000032229. The reversal of 221213000032200 is 2230000312122.

221213000032200 is a `hidden beast` number, since 2 + 21 + 21 + 300 + 0 + 0 + 322 + 0 + 0 = 666.

It is a super-2 number, since 2×221213000032200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150245424 + ... + 151710623.

It is an arithmetic number, because the mean of its divisors is an integer number (2890096824420).

Almost surely, 2^{221213000032200} is an apocalyptic number.

221213000032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221213000032200 is an abundant number, since it is smaller than the sum of its proper divisors (611134885400760).

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

221213000032200 is a wasteful number, since it uses less digits than its factorization.

221213000032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301956117 (or 301956105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221213000032200 its reverse (2230000312122), we get a palindrome (223443000344322).

The spelling of 221213000032200 in words is "two hundred twenty-one trillion, two hundred thirteen billion, thirty-two thousand, two hundred".