1127811072 has 144 divisors (see below), whose sum is σ = 3152232720. Its totient is φ = 358555648.

The previous prime is 1127811043. The next prime is 1127811079. The reversal of 1127811072 is 2701187211.

It is not an unprimeable number, because it can be changed into a prime (1127811079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3250003 + ... + 3250349.

It is an arithmetic number, because the mean of its divisors is an integer number (21890505).

Almost surely, 2^1127811072 is an apocalyptic number.

1127811072 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 1127811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576116360).

1127811072 is an abundant number, since it is smaller than the sum of its proper divisors (2024421648).

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

1127811072 is an equidigital number, since it uses as much as digits as its factorization.

1127811072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 30.

The square root of 1127811072 is about 33582.8985050427. The cubic root of 1127811072 is about 1040.9074525474.

Adding to 1127811072 its reverse (2701187211), we get a palindrome (3828998283).

The spelling of 1127811072 in words is "one billion, one hundred twenty-seven million, eight hundred eleven thousand, seventy-two".