12351241305252 has 96 divisors (see below), whose sum is σ = 32252094000000. Its totient is φ = 4087489560192.

The previous prime is 12351241305223. The next prime is 12351241305343. The reversal of 12351241305252 is 25250314215321.

12351241305252 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 124 + 1 + 3 + 0 + 525 + 2 = 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 31 ways as a sum of consecutive naturals, for example, 33594274 + ... + 33959942.

It is an arithmetic number, because the mean of its divisors is an integer number (335959312500).

Almost surely, 2^{12351241305252} is an apocalyptic number.

12351241305252 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 12351241305252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126047000000).

12351241305252 is an abundant number, since it is smaller than the sum of its proper divisors (19900852694748).

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

12351241305252 is a wasteful number, since it uses less digits than its factorization.

12351241305252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367930 (or 367922 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 12351241305252 in words is "twelve trillion, three hundred fifty-one billion, two hundred forty-one million, three hundred five thousand, two hundred fifty-two".