220121688 has 64 divisors (see below), whose sum is σ = 581961600. Its totient is φ = 69189120.

The previous prime is 220121677. The next prime is 220121689. The reversal of 220121688 is 886121022.

220121688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220121689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108895 + ... + 110897.

It is an arithmetic number, because the mean of its divisors is an integer number (9093150).

Almost surely, 2^220121688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220121688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290980800).

220121688 is an abundant number, since it is smaller than the sum of its proper divisors (361839912).

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

220121688 is a wasteful number, since it uses less digits than its factorization.

220121688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 220121688 is about 14836.4985087452. The cubic root of 220121688 is about 603.7923573196.

The spelling of 220121688 in words is "two hundred twenty million, one hundred twenty-one thousand, six hundred eighty-eight".