12100430344002 has 384 divisors, whose sum is σ = 34340221181952. Its totient is φ = 2762705594880.

The previous prime is 12100430344001. The next prime is 12100430344021. The reversal of 12100430344002 is 20044303400121.

It is not an unprimeable number, because it can be changed into a prime (12100430344001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114836113 + ... + 114941435.

It is an arithmetic number, because the mean of its divisors is an integer number (89427659328).

Almost surely, 2^{12100430344002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100430344002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170110590976).

12100430344002 is an abundant number, since it is smaller than the sum of its proper divisors (22239790837950).

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

12100430344002 is a wasteful number, since it uses less digits than its factorization.

12100430344002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105454 (or 105443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12100430344002 its reverse (20044303400121), we get a palindrome (32144733744123).

The spelling of 12100430344002 in words is "twelve trillion, one hundred billion, four hundred thirty million, three hundred forty-four thousand, two".