12241352623104 has 528 divisors, whose sum is σ = 39755914323840. Its totient is φ = 3595230904320.

The previous prime is 12241352623079. The next prime is 12241352623127. The reversal of 12241352623104 is 40132625314221.

It is a happy number.

12241352623104 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 3 + 526 + 23 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 47 ways as a sum of consecutive naturals, for example, 986483652 + ... + 986496060.

It is an arithmetic number, because the mean of its divisors is an integer number (75295292280).

Almost surely, 2^{12241352623104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241352623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19877957161920).

12241352623104 is an abundant number, since it is smaller than the sum of its proper divisors (27514561700736).

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

12241352623104 is a wasteful number, since it uses less digits than its factorization.

12241352623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12746 (or 12725 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12241352623104 its reverse (40132625314221), we get a palindrome (52373977937325).

The spelling of 12241352623104 in words is "twelve trillion, two hundred forty-one billion, three hundred fifty-two million, six hundred twenty-three thousand, one hundred four".