12736231920 has 240 divisors, whose sum is σ = 44228856672. Its totient is φ = 3282370560.

The previous prime is 12736231889. The next prime is 12736231931. The reversal of 12736231920 is 2913263721.

12736231920 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 623 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3001000 + ... + 3005240.

Almost surely, 2^12736231920 is an apocalyptic number.

12736231920 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 12736231920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22114428336).

12736231920 is an abundant number, since it is smaller than the sum of its proper divisors (31492624752).

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

12736231920 is a wasteful number, since it uses less digits than its factorization.

12736231920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 12736231920 in words is "twelve billion, seven hundred thirty-six million, two hundred thirty-one thousand, nine hundred twenty".