129145121280000 has 3120 divisors, whose sum is σ = 589139530752960. Its totient is φ = 27770093568000.

The previous prime is 129145121279831. The next prime is 129145121280001. The reversal of 129145121280000 is 82121541921.

129145121280000 is a `hidden beast` number, since 1 + 2 + 9 + 14 + 512 + 128 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (129145121280001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 57576958879 + ... + 57576961121.

Almost surely, 2^{129145121280000} is an apocalyptic number.

129145121280000 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 129145121280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294569765376480).

129145121280000 is an abundant number, since it is smaller than the sum of its proper divisors (459994409472960).

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

129145121280000 is an equidigital number, since it uses as much as digits as its factorization.

129145121280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 129145121280000 in words is "one hundred twenty-nine trillion, one hundred forty-five billion, one hundred twenty-one million, two hundred eighty thousand".