221091120 has 280 divisors, whose sum is σ = 819697536. Its totient is φ = 55240704.

The previous prime is 221091053. The next prime is 221091127. The reversal of 221091120 is 21190122.

221091120 = 2613² + 2614² + ... + 2644².

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

It is a junction number, because it is equal to n+sod(n) for n = 221091093 and 221091102.

It is not an unprimeable number, because it can be changed into a prime (221091127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 991329 + ... + 991551.

Almost surely, 2^221091120 is an apocalyptic number.

221091120 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 221091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409848768).

221091120 is an abundant number, since it is smaller than the sum of its proper divisors (598606416).

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

221091120 is a wasteful number, since it uses less digits than its factorization.

221091120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 221091120 is about 14869.1331287335. The cubic root of 221091120 is about 604.6774411523.

The spelling of 221091120 in words is "two hundred twenty-one million, ninety-one thousand, one hundred twenty".