12752709120 has 320 divisors, whose sum is σ = 47967733440. Its totient is φ = 3200385024.

The previous prime is 12752709119. The next prime is 12752709127. The reversal of 12752709120 is 2190725721.

12752709120 is a `hidden beast` number, since 1 + 2 + 7 + 527 + 0 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12752709127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169614 + ... + 1180466.

It is an arithmetic number, because the mean of its divisors is an integer number (149899167).

Almost surely, 2^12752709120 is an apocalyptic number.

12752709120 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 12752709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23983866720).

12752709120 is an abundant number, since it is smaller than the sum of its proper divisors (35215024320).

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

12752709120 is a wasteful number, since it uses less digits than its factorization.

12752709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 12752709120 in words is "twelve billion, seven hundred fifty-two million, seven hundred nine thousand, one hundred twenty".