12001512405252 has 96 divisors (see below), whose sum is σ = 30062739168000. Its totient is φ = 3712889843712.

The previous prime is 12001512405241. The next prime is 12001512405257. The reversal of 12001512405252 is 25250421510021.

It is not an unprimeable number, because it can be changed into a prime (12001512405257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80327274 + ... + 80476542.

It is an arithmetic number, because the mean of its divisors is an integer number (313153533000).

Almost surely, 2^{12001512405252} is an apocalyptic number.

12001512405252 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 12001512405252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031369584000).

12001512405252 is an abundant number, since it is smaller than the sum of its proper divisors (18061226762748).

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

12001512405252 is a wasteful number, since it uses less digits than its factorization.

12001512405252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154765 (or 154763 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 12001512405252 its reverse (25250421510021), we get a palindrome (37251933915273).

The spelling of 12001512405252 in words is "twelve trillion, one billion, five hundred twelve million, four hundred five thousand, two hundred fifty-two".