1111083120 has 240 divisors, whose sum is σ = 4314098880. Its totient is φ = 251006976.

The previous prime is 1111083049. The next prime is 1111083133. The reversal of 1111083120 is 213801111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1111083093 and 1111083102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447322 + ... + 449798.

It is an arithmetic number, because the mean of its divisors is an integer number (17975412).

Almost surely, 2^1111083120 is an apocalyptic number.

1111083120 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 1111083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157049440).

1111083120 is an abundant number, since it is smaller than the sum of its proper divisors (3203015760).

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

1111083120 is a wasteful number, since it uses less digits than its factorization.

1111083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1111083120 is about 33332.9134640223. The cubic root of 1111083120 is about 1035.7354710892.

Adding to 1111083120 its reverse (213801111), we get a palindrome (1324884231).

The spelling of 1111083120 in words is "one billion, one hundred eleven million, eighty-three thousand, one hundred twenty".