220254440120 has 128 divisors (see below), whose sum is σ = 583752960000. Its totient is φ = 73735764480.

The previous prime is 220254440117. The next prime is 220254440137. The reversal of 220254440120 is 21044452022.

It is a super-2 number, since 2×220254440120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 220254440120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2117081 + ... + 2218679.

It is an arithmetic number, because the mean of its divisors is an integer number (4560570000).

Almost surely, 2^220254440120 is an apocalyptic number.

220254440120 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 220254440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480000).

220254440120 is an abundant number, since it is smaller than the sum of its proper divisors (363498519880).

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

220254440120 is a wasteful number, since it uses less digits than its factorization.

220254440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102013 (or 102009 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 220254440120 its reverse (21044452022), we get a palindrome (241298892142).

The spelling of 220254440120 in words is "two hundred twenty billion, two hundred fifty-four million, four hundred forty thousand, one hundred twenty".