12137120640 has 192 divisors, whose sum is σ = 42067827360. Its totient is φ = 3224457216.

The previous prime is 12137120609. The next prime is 12137120647. The reversal of 12137120640 is 4602173121.

12137120640 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 7 + 12 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137120647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591717 + ... + 1599323.

Almost surely, 2^12137120640 is an apocalyptic number.

12137120640 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 12137120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21033913680).

12137120640 is an abundant number, since it is smaller than the sum of its proper divisors (29930706720).

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

12137120640 is a wasteful number, since it uses less digits than its factorization.

12137120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7909 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 12137120640 its reverse (4602173121), we get a palindrome (16739293761).

The spelling of 12137120640 in words is "twelve billion, one hundred thirty-seven million, one hundred twenty thousand, six hundred forty".