12429435836160 has 1296 divisors, whose sum is σ = 53281684624896. Its totient is φ = 2658084323328.

The previous prime is 12429435836119. The next prime is 12429435836219. The reversal of 12429435836160 is 6163853492421.

It is a happy number.

12429435836160 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 9 + 43 + 583 + 6 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12429435836097 and 12429435836106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1660131937 + ... + 1660139423.

It is an arithmetic number, because the mean of its divisors is an integer number (41112410976).

Almost surely, 2^{12429435836160} is an apocalyptic number.

12429435836160 is a gapful number since it is divisible by the number (10) 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 12429435836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26640842312448).

12429435836160 is an abundant number, since it is smaller than the sum of its proper divisors (40852248788736).

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

12429435836160 is a wasteful number, since it uses less digits than its factorization.

12429435836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 7694 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 12429435836160 in words is "twelve trillion, four hundred twenty-nine billion, four hundred thirty-five million, eight hundred thirty-six thousand, one hundred sixty".