221220120 has 128 divisors (see below), whose sum is σ = 749088000. Its totient is φ = 51770880.

The previous prime is 221220119. The next prime is 221220127. The reversal of 221220120 is 21022122.

221220120 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 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 = 221220096 and 221220105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35391 + ... + 41169.

It is an arithmetic number, because the mean of its divisors is an integer number (5852250).

Almost surely, 2^221220120 is an apocalyptic number.

221220120 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 221220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374544000).

221220120 is an abundant number, since it is smaller than the sum of its proper divisors (527867880).

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

221220120 is a wasteful number, since it uses less digits than its factorization.

221220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833 (or 5829 counting only the distinct ones).

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

The square root of 221220120 is about 14873.4703415175. The cubic root of 221220120 is about 604.7950219699.

Adding to 221220120 its reverse (21022122), we get a palindrome (242242242).

The spelling of 221220120 in words is "two hundred twenty-one million, two hundred twenty thousand, one hundred twenty".