12132341760 has 768 divisors, whose sum is σ = 50721914880. Its totient is φ = 2400583680.

The previous prime is 12132341723. The next prime is 12132341761. The reversal of 12132341760 is 6714323121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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 (12132341761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54405009 + ... + 54405231.

It is an arithmetic number, because the mean of its divisors is an integer number (66044160).

Almost surely, 2^12132341760 is an apocalyptic number.

12132341760 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 12132341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440).

12132341760 is an abundant number, since it is smaller than the sum of its proper divisors (38589573120).

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

12132341760 is a wasteful number, since it uses less digits than its factorization.

12132341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 12132341760 its reverse (6714323121), we get a palindrome (18846664881).

The spelling of 12132341760 in words is "twelve billion, one hundred thirty-two million, three hundred forty-one thousand, seven hundred sixty".