12144926430 has 384 divisors, whose sum is σ = 40982630400. Its totient is φ = 2504825856.

The previous prime is 12144926401. The next prime is 12144926461. The reversal of 12144926430 is 3462944121.

12144926430 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 9 + 2 + 643 + 0 = 666.

It is a super-2 number, since 2×12144926430² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15011866 + ... + 15012674.

It is an arithmetic number, because the mean of its divisors is an integer number (106725600).

Almost surely, 2^12144926430 is an apocalyptic number.

12144926430 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 12144926430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491315200).

12144926430 is an abundant number, since it is smaller than the sum of its proper divisors (28837703970).

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

12144926430 is a wasteful number, since it uses less digits than its factorization.

12144926430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12144926430 in words is "twelve billion, one hundred forty-four million, nine hundred twenty-six thousand, four hundred thirty".