221040120 has 256 divisors, whose sum is σ = 838563840. Its totient is φ = 45416448.

The previous prime is 221040101. The next prime is 221040121. The reversal of 221040120 is 21040122.

It is a super-2 number, since 2×221040120² = 97717469299228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221040096 and 221040105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221040121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328104 + ... + 328776.

It is an arithmetic number, because the mean of its divisors is an integer number (3275640).

Almost surely, 2^221040120 is an apocalyptic number.

221040120 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 221040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419281920).

221040120 is an abundant number, since it is smaller than the sum of its proper divisors (617523720).

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

221040120 is a wasteful number, since it uses less digits than its factorization.

221040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221040120 is about 14867.4180677077. The cubic root of 221040120 is about 604.6309430975.

Adding to 221040120 its reverse (21040122), we get a palindrome (242080242).

The spelling of 221040120 in words is "two hundred twenty-one million, forty thousand, one hundred twenty".