1288113120 has 288 divisors, whose sum is σ = 5319857088. Its totient is φ = 277069824.

The previous prime is 1288113119. The next prime is 1288113131. The reversal of 1288113120 is 213118821.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1288113120² = 3318470819832268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167602 + ... + 175118.

It is an arithmetic number, because the mean of its divisors is an integer number (18471726).

Almost surely, 2^1288113120 is an apocalyptic number.

1288113120 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 1288113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659928544).

1288113120 is an abundant number, since it is smaller than the sum of its proper divisors (4031743968).

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

1288113120 is a wasteful number, since it uses less digits than its factorization.

1288113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1288113120 is about 35890.2928380363. The cubic root of 1288113120 is about 1088.0562164580.

The spelling of 1288113120 in words is "one billion, two hundred eighty-eight million, one hundred thirteen thousand, one hundred twenty".