12127708152 has 504 divisors, whose sum is σ = 42075603360. Its totient is φ = 3262654080.

The previous prime is 12127708127. The next prime is 12127708181. The reversal of 12127708152 is 25180772121.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 327775878 + ... + 327775914.

It is an arithmetic number, because the mean of its divisors is an integer number (83483340).

Almost surely, 2^12127708152 is an apocalyptic number.

12127708152 is a gapful number since it is divisible by the number (12) 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 12127708152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21037801680).

12127708152 is an abundant number, since it is smaller than the sum of its proper divisors (29947895208).

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

12127708152 is an equidigital number, since it uses as much as digits as its factorization.

12127708152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 12127708152 in words is "twelve billion, one hundred twenty-seven million, seven hundred eight thousand, one hundred fifty-two".