220133112144 has 80 divisors (see below), whose sum is σ = 620880927744. Its totient is φ = 66652617600.

The previous prime is 220133112103. The next prime is 220133112167. The reversal of 220133112144 is 441211331022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480627 + ... + 819309.

Almost surely, 2^220133112144 is an apocalyptic number.

220133112144 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 220133112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310440463872).

220133112144 is an abundant number, since it is smaller than the sum of its proper divisors (400747815600).

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

220133112144 is a wasteful number, since it uses less digits than its factorization.

220133112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339936 (or 339930 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 220133112144 its reverse (441211331022), we get a palindrome (661344443166).

The spelling of 220133112144 in words is "two hundred twenty billion, one hundred thirty-three million, one hundred twelve thousand, one hundred forty-four".