221395120 has 40 divisors (see below), whose sum is σ = 518051664. Its totient is φ = 87988992.

The previous prime is 221395117. The next prime is 221395127. The reversal of 221395120 is 21593122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (221395127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3747 + ... + 21373.

Almost surely, 2^221395120 is an apocalyptic number.

221395120 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 221395120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259025832).

221395120 is an abundant number, since it is smaller than the sum of its proper divisors (296656544).

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

221395120 is a wasteful number, since it uses less digits than its factorization.

221395120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17797 (or 17791 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 221395120 is about 14879.3521364339. The cubic root of 221395120 is about 604.9544577881.

The spelling of 221395120 in words is "two hundred twenty-one million, three hundred ninety-five thousand, one hundred twenty".