201112320 has 144 divisors (see below), whose sum is σ = 651071232. Its totient is φ = 52899840.

The previous prime is 201112309. The next prime is 201112337. The reversal of 201112320 is 23211102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201112296 and 201112305.

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, 318405 + ... + 319035.

It is an arithmetic number, because the mean of its divisors is an integer number (4521328).

Almost surely, 2^201112320 is an apocalyptic number.

201112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325535616).

201112320 is an abundant number, since it is smaller than the sum of its proper divisors (449958912).

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

201112320 is an equidigital number, since it uses as much as digits as its factorization.

201112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201112320 is about 14181.4075465026. The cubic root of 201112320 is about 585.8856917677.

Adding to 201112320 its reverse (23211102), we get a palindrome (224323422).

The spelling of 201112320 in words is "two hundred one million, one hundred twelve thousand, three hundred twenty".