1106584861120 has 112 divisors (see below), whose sum is σ = 2793990713760. Its totient is φ = 416276250624.

The previous prime is 1106584861087. The next prime is 1106584861153. The reversal of 1106584861120 is 211684856011.

It is an interprime number because it is at equal distance from previous prime (1106584861087) and next prime (1106584861153).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168712 + ... + 1497208.

Almost surely, 2^{1106584861120} is an apocalyptic number.

1106584861120 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 1106584861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396995356880).

1106584861120 is an abundant number, since it is smaller than the sum of its proper divisors (1687405852640).

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

1106584861120 is a wasteful number, since it uses less digits than its factorization.

1106584861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328670 (or 1328660 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The spelling of 1106584861120 in words is "one trillion, one hundred six billion, five hundred eighty-four million, eight hundred sixty-one thousand, one hundred twenty".