221122011200 has 84 divisors (see below), whose sum is σ = 550985984640. Its totient is φ = 87329149440.

The previous prime is 221122011167. The next prime is 221122011269. The reversal of 221122011200 is 2110221122.

It is a super-3 number, since 3×221122011200³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 748292 + ... + 1001091.

It is an arithmetic number, because the mean of its divisors is an integer number (6559356960).

Almost surely, 2^221122011200 is an apocalyptic number.

221122011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122011200 is an abundant number, since it is smaller than the sum of its proper divisors (329863973440).

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

221122011200 is a wasteful number, since it uses less digits than its factorization.

221122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749484 (or 1749469 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221122011200 its reverse (2110221122), we get a palindrome (223232232322).

The spelling of 221122011200 in words is "two hundred twenty-one billion, one hundred twenty-two million, eleven thousand, two hundred".