221120202012112 has 80 divisors (see below), whose sum is σ = 472841715099600. Its totient is φ = 99521481830400.

The previous prime is 221120202012103. The next prime is 221120202012119. The reversal of 221120202012112 is 211210202021122.

It can be written as a sum of positive squares in 8 ways, for example, as 40105673073216 + 181014528938896 = 6332904^2 + 13454164^2 .

It is a super-3 number, since 3×221120202012112³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221120202012112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120202012119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13103514 + ... + 24777862.

It is an arithmetic number, because the mean of its divisors is an integer number (5910521438745).

Almost surely, 2^{221120202012112} 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 221120202012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236420857549800).

221120202012112 is an abundant number, since it is smaller than the sum of its proper divisors (251721513087488).

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

221120202012112 is a wasteful number, since it uses less digits than its factorization.

221120202012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11676632 (or 11676626 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221120202012112 its reverse (211210202021122), we get a palindrome (432330404033234).

The spelling of 221120202012112 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred two million, twelve thousand, one hundred twelve".