1105127712 has 120 divisors (see below), whose sum is σ = 3500268156. Its totient is φ = 340028928.

The previous prime is 1105127669. The next prime is 1105127717. The reversal of 1105127712 is 2177215011.

It can be written as a sum of positive squares in 2 ways, for example, as 1075577616 + 29550096 = 32796^2 + 5436^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1105127717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17298 + ... + 50094.

Almost surely, 2^1105127712 is an apocalyptic number.

1105127712 is a gapful number since it is divisible by the number (12) 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 1105127712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750134078).

1105127712 is an abundant number, since it is smaller than the sum of its proper divisors (2395140444).

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

1105127712 is a wasteful number, since it uses less digits than its factorization.

1105127712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32832 (or 32815 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The square root of 1105127712 is about 33243.4611916389. The cubic root of 1105127712 is about 1033.8816401428.

The spelling of 1105127712 in words is "one billion, one hundred five million, one hundred twenty-seven thousand, seven hundred twelve".