12012884352 has 192 divisors, whose sum is σ = 41831056800. Its totient is φ = 3230318592.

The previous prime is 12012884321. The next prime is 12012884353. The reversal of 12012884352 is 25348821021.

It is a happy number.

12012884352 is a `hidden beast` number, since 1 + 20 + 1 + 288 + 4 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (12012884353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93274 + ... + 180902.

Almost surely, 2^12012884352 is an apocalyptic number.

12012884352 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 12012884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20915528400).

12012884352 is an abundant number, since it is smaller than the sum of its proper divisors (29818172448).

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

12012884352 is a wasteful number, since it uses less digits than its factorization.

12012884352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87673 (or 87658 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

It can be divided in two parts, 120128 and 84352, that added together give a triangular number (204480 = T₆₃₉).

The spelling of 12012884352 in words is "twelve billion, twelve million, eight hundred eighty-four thousand, three hundred fifty-two".