12127121760 has 192 divisors, whose sum is σ = 41394786048. Its totient is φ = 2966575104.

The previous prime is 12127121723. The next prime is 12127121767. The reversal of 12127121760 is 6712172121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127121767) 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, 1011159 + ... + 1023081.

It is an arithmetic number, because the mean of its divisors is an integer number (215597844).

Almost surely, 2^12127121760 is an apocalyptic number.

12127121760 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 12127121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20697393024).

12127121760 is an abundant number, since it is smaller than the sum of its proper divisors (29267664288).

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

12127121760 is a wasteful number, since it uses less digits than its factorization.

12127121760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12117 (or 12109 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

Adding to 12127121760 its reverse (6712172121), we get a palindrome (18839293881).

The spelling of 12127121760 in words is "twelve billion, one hundred twenty-seven million, one hundred twenty-one thousand, seven hundred sixty".