12742417152 has 180 divisors, whose sum is σ = 38218977720. Its totient is φ = 4222513152.

The previous prime is 12742417141. The next prime is 12742417159. The reversal of 12742417152 is 25171424721.

12742417152 is a `hidden beast` number, since 12 + 7 + 424 + 171 + 52 = 666.

It is a super-2 number, since 2×12742417152² (a number of 21 digits) contains 22 as substring.

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 (12742417159) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3710028 + ... + 3713460.

It is an arithmetic number, because the mean of its divisors is an integer number (212327654).

Almost surely, 2^12742417152 is an apocalyptic number.

12742417152 is a gapful number since it is divisible by the number (12) 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 12742417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19109488860).

12742417152 is an abundant number, since it is smaller than the sum of its proper divisors (25476560568).

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

12742417152 is an equidigital number, since it uses as much as digits as its factorization.

12742417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3617 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The spelling of 12742417152 in words is "twelve billion, seven hundred forty-two million, four hundred seventeen thousand, one hundred fifty-two".