129286396008000 has 672 divisors, whose sum is σ = 576597202391808. Its totient is φ = 26864704512000.

The previous prime is 129286396007963. The next prime is 129286396008037. The reversal of 129286396008000 is 800693682921.

129286396008000 is a `hidden beast` number, since 1 + 2 + 9 + 28 + 6 + 3 + 9 + 600 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129286396007963) and next prime (129286396008037).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6116029 + ... + 17204028.

Almost surely, 2^{129286396008000} is an apocalyptic number.

129286396008000 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 129286396008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288298601195904).

129286396008000 is an abundant number, since it is smaller than the sum of its proper divisors (447310806383808).

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

129286396008000 is a wasteful number, since it uses less digits than its factorization.

129286396008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23320108 (or 23320085 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 129286396008000 in words is "one hundred twenty-nine trillion, two hundred eighty-six billion, three hundred ninety-six million, eight thousand".