1127871120 has 80 divisors (see below), whose sum is σ = 3702084480. Its totient is φ = 283072512.

The previous prime is 1127871077. The next prime is 1127871131. The reversal of 1127871120 is 211787211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134140 + ... + 142299.

It is an arithmetic number, because the mean of its divisors is an integer number (46276056).

Almost surely, 2^1127871120 is an apocalyptic number.

1127871120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1127871120 is an abundant number, since it is smaller than the sum of its proper divisors (2574213360).

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

1127871120 is a wasteful number, since it uses less digits than its factorization.

1127871120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276472 (or 276466 counting only the distinct ones).

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

The square root of 1127871120 is about 33583.7925196068. The cubic root of 1127871120 is about 1040.9259258843.

The spelling of 1127871120 in words is "one billion, one hundred twenty-seven million, eight hundred seventy-one thousand, one hundred twenty".