221042120 has 64 divisors (see below), whose sum is σ = 540933120. Its totient is φ = 80803584.

The previous prime is 221042119. The next prime is 221042137. The reversal of 221042120 is 21240122.

221042120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221042095 and 221042104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51497 + ... + 55623.

It is an arithmetic number, because the mean of its divisors is an integer number (8452080).

Almost surely, 2^221042120 is an apocalyptic number.

221042120 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 221042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270466560).

221042120 is an abundant number, since it is smaller than the sum of its proper divisors (319891000).

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

221042120 is a wasteful number, since it uses less digits than its factorization.

221042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 221042120 is about 14867.4853287299. The cubic root of 221042120 is about 604.6327666854.

Adding to 221042120 its reverse (21240122), we get a palindrome (242282242).

The spelling of 221042120 in words is "two hundred twenty-one million, forty-two thousand, one hundred twenty".