12136676064 has 192 divisors, whose sum is σ = 34799030784. Its totient is φ = 3692722176.

The previous prime is 12136676021. The next prime is 12136676089. The reversal of 12136676064 is 46067663121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4328487 + ... + 4331289.

It is an arithmetic number, because the mean of its divisors is an integer number (181244952).

Almost surely, 2^12136676064 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 12136676064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17399515392).

12136676064 is an abundant number, since it is smaller than the sum of its proper divisors (22662354720).

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

12136676064 is a wasteful number, since it uses less digits than its factorization.

12136676064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 12136676064 in words is "twelve billion, one hundred thirty-six million, six hundred seventy-six thousand, sixty-four".