220000010112272 has 160 divisors (see below), whose sum is σ = 469821885912288. Its totient is φ = 99170795962368.

The previous prime is 220000010112271. The next prime is 220000010112301. The reversal of 220000010112272 is 272211010000022.

It can be written as a sum of positive squares in 16 ways, for example, as 5211522831376 + 214788487280896 = 2282876^2 + 14655664^2 .

It is not an unprimeable number, because it can be changed into a prime (220000010112271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14273658038 + ... + 14273673450.

Almost surely, 2^{220000010112272} 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 220000010112272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234910942956144).

220000010112272 is an abundant number, since it is smaller than the sum of its proper divisors (249821875800016).

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

220000010112272 is a wasteful number, since it uses less digits than its factorization.

220000010112272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21277 (or 21271 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 220000010112272 its reverse (272211010000022), we get a palindrome (492211020112294).

The spelling of 220000010112272 in words is "two hundred twenty trillion, ten million, one hundred twelve thousand, two hundred seventy-two".