1120113860976 has 960 divisors, whose sum is σ = 3818635591680. Its totient is φ = 302811125760.

The previous prime is 1120113860963. The next prime is 1120113861001. The reversal of 1120113860976 is 6790683110211.

1120113860976 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 1 + 38 + 609 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5022932001 + ... + 5022932223.

It is an arithmetic number, because the mean of its divisors is an integer number (3977745408).

Almost surely, 2^{1120113860976} is an apocalyptic number.

1120113860976 is a gapful number since it is divisible by the number (16) 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 1120113860976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909317795840).

1120113860976 is an abundant number, since it is smaller than the sum of its proper divisors (2698521730704).

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

1120113860976 is a wasteful number, since it uses less digits than its factorization.

1120113860976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1120113860976 in words is "one trillion, one hundred twenty billion, one hundred thirteen million, eight hundred sixty thousand, nine hundred seventy-six".