12253834008 has 384 divisors, whose sum is σ = 40037760000. Its totient is φ = 3442279680.

The previous prime is 12253834007. The next prime is 12253834013. The reversal of 12253834008 is 80043835221.

12253834008 is a `hidden beast` number, since 122 + 53 + 83 + 400 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253834001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51271153 + ... + 51271391.

It is an arithmetic number, because the mean of its divisors is an integer number (104265000).

Almost surely, 2^12253834008 is an apocalyptic number.

12253834008 is a gapful number since it is divisible by the number (18) 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 12253834008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20018880000).

12253834008 is an abundant number, since it is smaller than the sum of its proper divisors (27783925992).

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

12253834008 is a wasteful number, since it uses less digits than its factorization.

12253834008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12253834008 in words is "twelve billion, two hundred fifty-three million, eight hundred thirty-four thousand, eight".