12988335360 has 1152 divisors, whose sum is σ = 58019512320. Its totient is φ = 2388787200.

The previous prime is 12988335319. The next prime is 12988335389. The reversal of 12988335360 is 6353388921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119158986 + ... + 119159094.

It is an arithmetic number, because the mean of its divisors is an integer number (50364160).

Almost surely, 2^12988335360 is an apocalyptic number.

12988335360 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 12988335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29009756160).

12988335360 is an abundant number, since it is smaller than the sum of its proper divisors (45031176960).

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

12988335360 is a wasteful number, since it uses less digits than its factorization.

12988335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 12988335360 in words is "twelve billion, nine hundred eighty-eight million, three hundred thirty-five thousand, three hundred sixty".