12136009317120 has 1440 divisors, whose sum is σ = 50817840353280. Its totient is φ = 2738625085440.

The previous prime is 12136009317109. The next prime is 12136009317121. The reversal of 12136009317120 is 2171390063121.

12136009317120 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 600 + 9 + 31 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (12136009317121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 793870117 + ... + 793885403.

It is an arithmetic number, because the mean of its divisors is an integer number (35290166912).

Almost surely, 2^{12136009317120} is an apocalyptic number.

12136009317120 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 12136009317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25408920176640).

12136009317120 is an abundant number, since it is smaller than the sum of its proper divisors (38681831036160).

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

12136009317120 is a wasteful number, since it uses less digits than its factorization.

12136009317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15383 (or 15360 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12136009317120 in words is "twelve trillion, one hundred thirty-six billion, nine million, three hundred seventeen thousand, one hundred twenty".