221233332122112 has 160 divisors (see below), whose sum is σ = 595698899330304. Its totient is φ = 72954925056000.

The previous prime is 221233332122107. The next prime is 221233332122137. The reversal of 221233332122112 is 211221233332122.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221233332122112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190393188 + ... + 191551644.

Almost surely, 2^{221233332122112} 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 221233332122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297849449665152).

221233332122112 is an abundant number, since it is smaller than the sum of its proper divisors (374465567208192).

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

221233332122112 is a wasteful number, since it uses less digits than its factorization.

221233332122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159810 (or 1159794 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 221233332122112 its reverse (211221233332122), we get a palindrome (432454565454234).

The spelling of 221233332122112 in words is "two hundred twenty-one trillion, two hundred thirty-three billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred twelve".