12181434048 has 224 divisors, whose sum is σ = 43335244800. Its totient is φ = 3275624448.

The previous prime is 12181434047. The next prime is 12181434077. The reversal of 12181434048 is 84043418121.

It is a happy number.

12181434048 is a `hidden beast` number, since 1 + 2 + 181 + 434 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (12181434047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176013 + ... + 235251.

Almost surely, 2^12181434048 is an apocalyptic number.

12181434048 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 12181434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21667622400).

12181434048 is an abundant number, since it is smaller than the sum of its proper divisors (31153810752).

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

12181434048 is a wasteful number, since it uses less digits than its factorization.

12181434048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59284 (or 59268 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12181434048 in words is "twelve billion, one hundred eighty-one million, four hundred thirty-four thousand, forty-eight".