12084351552 has 896 divisors, whose sum is σ = 47046164480. Its totient is φ = 2956124160.

The previous prime is 12084351541. The next prime is 12084351569. The reversal of 12084351552 is 25515348021.

12084351552 is a `hidden beast` number, since 1 + 20 + 84 + 3 + 5 + 1 + 552 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180363423 + ... + 180363489.

It is an arithmetic number, because the mean of its divisors is an integer number (52506880).

Almost surely, 2^12084351552 is an apocalyptic number.

12084351552 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 12084351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23523082240).

12084351552 is an abundant number, since it is smaller than the sum of its proper divisors (34961812928).

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

12084351552 is a wasteful number, since it uses less digits than its factorization.

12084351552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 12084351552 its reverse (25515348021), we get a palindrome (37599699573).

The spelling of 12084351552 in words is "twelve billion, eighty-four million, three hundred fifty-one thousand, five hundred fifty-two".