1011112320 has 256 divisors, whose sum is σ = 3397236480. Its totient is φ = 255467520.

The previous prime is 1011112301. The next prime is 1011112321. The reversal of 1011112320 is 232111101.

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 = 1011112296 and 1011112305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3054555 + ... + 3054885.

It is an arithmetic number, because the mean of its divisors is an integer number (13270455).

Almost surely, 2^1011112320 is an apocalyptic number.

1011112320 is a gapful number since it is divisible by the number (10) 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 1011112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698618240).

1011112320 is an abundant number, since it is smaller than the sum of its proper divisors (2386124160).

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

1011112320 is a wasteful number, since it uses less digits than its factorization.

1011112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

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

The square root of 1011112320 is about 31797.9923894575. The cubic root of 1011112320 is about 1003.6904703411.

Adding to 1011112320 its reverse (232111101), we get a palindrome (1243223421).

The spelling of 1011112320 in words is "one billion, eleven million, one hundred twelve thousand, three hundred twenty".