12164252040 has 96 divisors (see below), whose sum is σ = 39687949080. Its totient is φ = 3231154176.

The previous prime is 12164252027. The next prime is 12164252041. The reversal of 12164252040 is 4025246121.

12164252040 is a `hidden beast` number, since 1 + 216 + 425 + 20 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11834393796 + 329858244 = 108786^2 + 18162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12164251995 and 12164252013.

It is not an unprimeable number, because it can be changed into a prime (12164252041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26782 + ... + 158258.

Almost surely, 2^12164252040 is an apocalyptic number.

12164252040 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 12164252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843974540).

12164252040 is an abundant number, since it is smaller than the sum of its proper divisors (27523697040).

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

12164252040 is a wasteful number, since it uses less digits than its factorization.

12164252040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131751 (or 131744 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12164252040 its reverse (4025246121), we get a palindrome (16189498161).

The spelling of 12164252040 in words is "twelve billion, one hundred sixty-four million, two hundred fifty-two thousand, forty".