12127337328 has 320 divisors, whose sum is σ = 37026201600. Its totient is φ = 3392040960.

The previous prime is 12127337293. The next prime is 12127337329. The reversal of 12127337328 is 82373372121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127337329) 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, 25317793 + ... + 25318271.

It is an arithmetic number, because the mean of its divisors is an integer number (115706880).

Almost surely, 2^12127337328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127337328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18513100800).

12127337328 is an abundant number, since it is smaller than the sum of its proper divisors (24898864272).

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

12127337328 is a wasteful number, since it uses less digits than its factorization.

12127337328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The spelling of 12127337328 in words is "twelve billion, one hundred twenty-seven million, three hundred thirty-seven thousand, three hundred twenty-eight".