12127406064 has 80 divisors (see below), whose sum is σ = 32463160320. Its totient is φ = 3896605440.

The previous prime is 12127406041. The next prime is 12127406117. The reversal of 12127406064 is 46060472121.

It is a super-2 number, since 2×12127406064² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871449 + ... + 885255.

It is an arithmetic number, because the mean of its divisors is an integer number (405789504).

Almost surely, 2^12127406064 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 12127406064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231580160).

12127406064 is an abundant number, since it is smaller than the sum of its proper divisors (20335754256).

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

12127406064 is a wasteful number, since it uses less digits than its factorization.

12127406064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14478 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 12127406064 its reverse (46060472121), we get a palindrome (58187878185).

The spelling of 12127406064 in words is "twelve billion, one hundred twenty-seven million, four hundred six thousand, sixty-four".