1101112320 has 704 divisors, whose sum is σ = 4716288000. Its totient is φ = 216760320.

The previous prime is 1101112319. The next prime is 1101112367. The reversal of 1101112320 is 232111011.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 1101112296 and 1101112305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57953271 + ... + 57953289.

Almost surely, 2^1101112320 is an apocalyptic number.

1101112320 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 1101112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358144000).

1101112320 is an abundant number, since it is smaller than the sum of its proper divisors (3615175680).

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

1101112320 is a wasteful number, since it uses less digits than its factorization.

1101112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

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

The square root of 1101112320 is about 33183.0125214695. The cubic root of 1101112320 is about 1032.6279454584.

Adding to 1101112320 its reverse (232111011), we get a palindrome (1333223331).

The spelling of 1101112320 in words is "one billion, one hundred one million, one hundred twelve thousand, three hundred twenty".