12172743011520 has 2688 divisors, whose sum is σ = 57814106628096. Its totient is φ = 2364708225024.

The previous prime is 12172743011509. The next prime is 12172743011573. The reversal of 12172743011520 is 2511034727121.

12172743011520 is a `hidden beast` number, since 1 + 2 + 1 + 72 + 7 + 430 + 1 + 152 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5653850764 + ... + 5653852916.

It is an arithmetic number, because the mean of its divisors is an integer number (21508224192).

Almost surely, 2^{12172743011520} is an apocalyptic number.

12172743011520 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 12172743011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28907053314048).

12172743011520 is an abundant number, since it is smaller than the sum of its proper divisors (45641363616576).

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

12172743011520 is a wasteful number, since it uses less digits than its factorization.

12172743011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 12172743011520 its reverse (2511034727121), we get a palindrome (14683777738641).

The spelling of 12172743011520 in words is "twelve trillion, one hundred seventy-two billion, seven hundred forty-three million, eleven thousand, five hundred twenty".