12006153432 has 288 divisors, whose sum is σ = 41547617280. Its totient is φ = 3063640320.

The previous prime is 12006153403. The next prime is 12006153437. The reversal of 12006153432 is 23435160021.

12006153432 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 615 + 3 + 43 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12006153396 and 12006153405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006153437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2638183 + ... + 2642729.

It is an arithmetic number, because the mean of its divisors is an integer number (144262560).

Almost surely, 2^12006153432 is an apocalyptic number.

12006153432 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 12006153432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20773808640).

12006153432 is an abundant number, since it is smaller than the sum of its proper divisors (29541463848).

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

12006153432 is a wasteful number, since it uses less digits than its factorization.

12006153432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 12006153432 in words is "twelve billion, six million, one hundred fifty-three thousand, four hundred thirty-two".