1120113000 has 192 divisors, whose sum is σ = 4009234320. Its totient is φ = 281088000.

The previous prime is 1120112963. The next prime is 1120113019. The reversal of 1120113000 is 3110211.

It can be written as a sum of positive squares in 8 ways, for example, as 3617604 + 1116495396 = 1902^2 + 33414^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 149340 + ... + 156660.

Almost surely, 2^1120113000 is an apocalyptic number.

1120113000 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 1120113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004617160).

1120113000 is an abundant number, since it is smaller than the sum of its proper divisors (2889121320).

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

1120113000 is a wasteful number, since it uses less digits than its factorization.

1120113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1120113000 is about 33468.0892791925. The cubic root of 1120113000 is about 1038.5337449001.

Adding to 1120113000 its reverse (3110211), we get a palindrome (1123223211).

The spelling of 1120113000 in words is "one billion, one hundred twenty million, one hundred thirteen thousand".