12242612910528 has 1512 divisors, whose sum is σ = 48430116770256. Its totient is φ = 2922548428800.

The previous prime is 12242612910467. The next prime is 12242612910533. The reversal of 12242612910528 is 82501921624221.

12242612910528 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 2 + 612 + 9 + 1 + 0 + 5 + 28 = 666.

12242612910528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18521350518 + ... + 18521351178.

Almost surely, 2^{12242612910528} is an apocalyptic number.

12242612910528 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 12242612910528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24215058385128).

12242612910528 is an abundant number, since it is smaller than the sum of its proper divisors (36187503859728).

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

12242612910528 is a wasteful number, since it uses less digits than its factorization.

12242612910528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12242612910528 in words is "twelve trillion, two hundred forty-two billion, six hundred twelve million, nine hundred ten thousand, five hundred twenty-eight".