1288112080 has 120 divisors (see below), whose sum is σ = 3158590248. Its totient is φ = 488162304.

The previous prime is 1288112069. The next prime is 1288112081. The reversal of 1288112080 is 802118821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 753392704 + 534719376 = 27448^2 + 23124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288112081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6538542 + ... + 6538738.

Almost surely, 2^1288112080 is an apocalyptic number.

1288112080 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 1288112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579295124).

1288112080 is an abundant number, since it is smaller than the sum of its proper divisors (1870478168).

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

1288112080 is a wasteful number, since it uses less digits than its factorization.

1288112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 31.

The square root of 1288112080 is about 35890.2783494361. The cubic root of 1288112080 is about 1088.0559236321.

The spelling of 1288112080 in words is "one billion, two hundred eighty-eight million, one hundred twelve thousand, eighty".