221231131200 has 336 divisors, whose sum is σ = 808400272960. Its totient is φ = 58853744640.

The previous prime is 221231131189. The next prime is 221231131217. The reversal of 221231131200 is 2131132122.

221231131200 is a `hidden beast` number, since 221 + 231 + 13 + 1 + 200 = 666.

It is a super-2 number, since 2×221231131200² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 18699687 + ... + 18711513.

Almost surely, 2^221231131200 is an apocalyptic number.

221231131200 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 221231131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404200136480).

221231131200 is an abundant number, since it is smaller than the sum of its proper divisors (587169141760).

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

221231131200 is a wasteful number, since it uses less digits than its factorization.

221231131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291 (or 12270 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221231131200 its reverse (2131132122), we get a palindrome (223362263322).

The spelling of 221231131200 in words is "two hundred twenty-one billion, two hundred thirty-one million, one hundred thirty-one thousand, two hundred".