12301412102430 has 192 divisors, whose sum is σ = 32877640321344. Its totient is φ = 2943173376000.

The previous prime is 12301412102423. The next prime is 12301412102509. The reversal of 12301412102430 is 3420121410321.

It is a super-2 number, since 2×12301412102430² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12301412102430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114701592 + ... + 114808788.

It is an arithmetic number, because the mean of its divisors is an integer number (171237710007).

Almost surely, 2^{12301412102430} is an apocalyptic number.

12301412102430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301412102430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16438820160672).

12301412102430 is an abundant number, since it is smaller than the sum of its proper divisors (20576228218914).

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

12301412102430 is a wasteful number, since it uses less digits than its factorization.

12301412102430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107643 (or 107632 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12301412102430 its reverse (3420121410321), we get a palindrome (15721533512751).

The spelling of 12301412102430 in words is "twelve trillion, three hundred one billion, four hundred twelve million, one hundred two thousand, four hundred thirty".