220122144 has 384 divisors, whose sum is σ = 783820800. Its totient is φ = 59304960.

The previous prime is 220122143. The next prime is 220122157. The reversal of 220122144 is 441221022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122143) 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, 4153222 + ... + 4153274.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^220122144 is an apocalyptic number.

220122144 is a gapful number since it is divisible by the number (24) 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 220122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391910400).

220122144 is an abundant number, since it is smaller than the sum of its proper divisors (563698656).

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

220122144 is a wasteful number, since it uses less digits than its factorization.

220122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 220122144 is about 14836.5138762446. The cubic root of 220122144 is about 603.7927742543.

Adding to 220122144 its reverse (441221022), we get a palindrome (661343166).

The spelling of 220122144 in words is "two hundred twenty million, one hundred twenty-two thousand, one hundred forty-four".