12429300796416 has 264 divisors, whose sum is σ = 41339375267840. Its totient is φ = 3523264045056.

The previous prime is 12429300796403. The next prime is 12429300796447. The reversal of 12429300796416 is 61469700392421.

12429300796416 is a `hidden beast` number, since 1 + 242 + 9 + 300 + 7 + 96 + 4 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7434495 + ... + 8951553.

Almost surely, 2^{12429300796416} is an apocalyptic number.

12429300796416 is a gapful number since it is divisible by the number (16) 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 12429300796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20669687633920).

12429300796416 is an abundant number, since it is smaller than the sum of its proper divisors (28910074471424).

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

12429300796416 is a wasteful number, since it uses less digits than its factorization.

12429300796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517219 (or 1517198 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12429300796416 in words is "twelve trillion, four hundred twenty-nine billion, three hundred million, seven hundred ninety-six thousand, four hundred sixteen".