12235842072 has 256 divisors, whose sum is σ = 38356416000. Its totient is φ = 3591143424.

The previous prime is 12235842071. The next prime is 12235842119. The reversal of 12235842072 is 27024853221.

12235842072 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 584 + 2 + 0 + 72 = 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 (12235842071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5789688 + ... + 5791800.

It is an arithmetic number, because the mean of its divisors is an integer number (149829750).

Almost surely, 2^12235842072 is an apocalyptic number.

12235842072 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 12235842072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19178208000).

12235842072 is an abundant number, since it is smaller than the sum of its proper divisors (26120573928).

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

12235842072 is a wasteful number, since it uses less digits than its factorization.

12235842072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12235842072 in words is "twelve billion, two hundred thirty-five million, eight hundred forty-two thousand, seventy-two".