12127747590 has 96 divisors (see below), whose sum is σ = 36160278336. Its totient is φ = 2762553600.

The previous prime is 12127747573. The next prime is 12127747591. The reversal of 12127747590 is 9574772121.

12127747590 is a `hidden beast` number, since 1 + 2 + 12 + 7 + 7 + 47 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127747591) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 151740 + ... + 217440.

It is an arithmetic number, because the mean of its divisors is an integer number (376669566).

Almost surely, 2^12127747590 is an apocalyptic number.

12127747590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127747590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18080139168).

12127747590 is an abundant number, since it is smaller than the sum of its proper divisors (24032530746).

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

12127747590 is a wasteful number, since it uses less digits than its factorization.

12127747590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66014 (or 66011 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 12127747590 in words is "twelve billion, one hundred twenty-seven million, seven hundred forty-seven thousand, five hundred ninety".