220142112 has 96 divisors (see below), whose sum is σ = 626294592. Its totient is φ = 67436544.

The previous prime is 220142089. The next prime is 220142137. The reversal of 220142112 is 211241022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 220142091 and 220142100.

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, 68608 + ... + 71744.

It is an arithmetic number, because the mean of its divisors is an integer number (6523902).

Almost surely, 2^220142112 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 220142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313147296).

220142112 is an abundant number, since it is smaller than the sum of its proper divisors (406152480).

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

220142112 is a wasteful number, since it uses less digits than its factorization.

220142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 220142112 is about 14837.1867953463. The cubic root of 220142112 is about 603.8110310417.

Adding to 220142112 its reverse (211241022), we get a palindrome (431383134).

The spelling of 220142112 in words is "two hundred twenty million, one hundred forty-two thousand, one hundred twelve".