12136797540 has 384 divisors, whose sum is σ = 45505152000. Its totient is φ = 2626670592.

The previous prime is 12136797529. The next prime is 12136797557. The reversal of 12136797540 is 4579763121.

12136797540 is a `hidden beast` number, since 1 + 2 + 1 + 36 + 79 + 7 + 540 = 666.

12136797540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5808816 + ... + 5810904.

It is an arithmetic number, because the mean of its divisors is an integer number (118503000).

Almost surely, 2^12136797540 is an apocalyptic number.

12136797540 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 12136797540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752576000).

12136797540 is an abundant number, since it is smaller than the sum of its proper divisors (33368354460).

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

12136797540 is a wasteful number, since it uses less digits than its factorization.

12136797540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 12136797540 in words is "twelve billion, one hundred thirty-six million, seven hundred ninety-seven thousand, five hundred forty".