12429820656288 has 432 divisors, whose sum is σ = 43190358696576. Its totient is φ = 3374459827200.

The previous prime is 12429820656233. The next prime is 12429820656293. The reversal of 12429820656288 is 88265602892421.

12429820656288 is a `hidden beast` number, since 1 + 2 + 4 + 298 + 2 + 0 + 65 + 6 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48884170 + ... + 49137782.

It is an arithmetic number, because the mean of its divisors is an integer number (99977682168).

Almost surely, 2^{12429820656288} is an apocalyptic number.

12429820656288 is a gapful number since it is divisible by the number (18) 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 12429820656288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21595179348288).

12429820656288 is an abundant number, since it is smaller than the sum of its proper divisors (30760538040288).

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

12429820656288 is a wasteful number, since it uses less digits than its factorization.

12429820656288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253817 (or 253799 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 12429820656288 in words is "twelve trillion, four hundred twenty-nine billion, eight hundred twenty million, six hundred fifty-six thousand, two hundred eighty-eight".