220443043120128 has 132 divisors (see below), whose sum is σ = 642826728606348. Its totient is φ = 72753479270400.

The previous prime is 220443043120127. The next prime is 220443043120129. The reversal of 220443043120128 is 821021340344022.

220443043120128 is a `hidden beast` number, since 2 + 2 + 0 + 443 + 0 + 4 + 3 + 1 + 201 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (220443043120127) and next prime (220443043120129).

It can be written as a sum of positive squares in 2 ways, for example, as 210989336822784 + 9453706297344 = 14525472^2 + 3074688^2 .

It is a super-2 number, since 2×220443043120128² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220443043120092 and 220443043120101.

It is not an unprimeable number, because it can be changed into a prime (220443043120123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117483051 + ... + 119344682.

It is an arithmetic number, because the mean of its divisors is an integer number (4869899459139).

Almost surely, 2^{220443043120128} is an apocalyptic number.

It is an amenable number.

220443043120128 is an abundant number, since it is smaller than the sum of its proper divisors (422383685486220).

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

220443043120128 is a wasteful number, since it uses less digits than its factorization.

220443043120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236827860 (or 236827839 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 220443043120128 in words is "two hundred twenty trillion, four hundred forty-three billion, forty-three million, one hundred twenty thousand, one hundred twenty-eight".