220311320112 has 480 divisors, whose sum is σ = 700882640640. Its totient is φ = 64149995520.

The previous prime is 220311320107. The next prime is 220311320129. The reversal of 220311320112 is 211023113022.

220311320112 is a `hidden beast` number, since 2 + 20 + 311 + 320 + 1 + 12 = 666.

It is a super-3 number, since 3×220311320112³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566352814 + ... + 566353202.

It is an arithmetic number, because the mean of its divisors is an integer number (1460172168).

Almost surely, 2^220311320112 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 220311320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350441320320).

220311320112 is an abundant number, since it is smaller than the sum of its proper divisors (480571320528).

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

220311320112 is a wasteful number, since it uses less digits than its factorization.

220311320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220311320112 its reverse (211023113022), we get a palindrome (431334433134).

The spelling of 220311320112 in words is "two hundred twenty billion, three hundred eleven million, three hundred twenty thousand, one hundred twelve".