12236095872 has 896 divisors, whose sum is σ = 49446270720. Its totient is φ = 2911334400.

The previous prime is 12236095871. The next prime is 12236095951. The reversal of 12236095872 is 27859063221.

12236095872 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 60 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12236095871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 93405247 + ... + 93405377.

It is an arithmetic number, because the mean of its divisors is an integer number (55185570).

Almost surely, 2^12236095872 is an apocalyptic number.

12236095872 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 12236095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24723135360).

12236095872 is an abundant number, since it is smaller than the sum of its proper divisors (37210174848).

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

12236095872 is a wasteful number, since it uses less digits than its factorization.

12236095872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12236095872 in words is "twelve billion, two hundred thirty-six million, ninety-five thousand, eight hundred seventy-two".