12136824000 has 896 divisors, whose sum is σ = 53254656000. Its totient is φ = 2645913600.

The previous prime is 12136823939. The next prime is 12136824019. The reversal of 12136824000 is 42863121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34775826 + ... + 34776174.

It is an arithmetic number, because the mean of its divisors is an integer number (59436000).

Almost surely, 2^12136824000 is an apocalyptic number.

12136824000 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 12136824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627328000).

12136824000 is an abundant number, since it is smaller than the sum of its proper divisors (41117832000).

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

12136824000 is a wasteful number, since it uses less digits than its factorization.

12136824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12136824000 in words is "twelve billion, one hundred thirty-six million, eight hundred twenty-four thousand".