12102445368624 has 320 divisors, whose sum is σ = 35133919285248. Its totient is φ = 3564623462400.

The previous prime is 12102445368623. The next prime is 12102445368647. The reversal of 12102445368624 is 42686354420121.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12102445368623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138833999 + ... + 1138844625.

Almost surely, 2^{12102445368624} 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 12102445368624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566959642624).

12102445368624 is an abundant number, since it is smaller than the sum of its proper divisors (23031473916624).

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

12102445368624 is a wasteful number, since it uses less digits than its factorization.

12102445368624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11316 (or 11310 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

Adding to 12102445368624 its reverse (42686354420121), we get a palindrome (54788799788745).

The spelling of 12102445368624 in words is "twelve trillion, one hundred two billion, four hundred forty-five million, three hundred sixty-eight thousand, six hundred twenty-four".