129228787084800 has 1440 divisors, whose sum is σ = 473842453392000. Its totient is φ = 31020827934720.

The previous prime is 129228787084741. The next prime is 129228787084819. The reversal of 129228787084800 is 8480787822921.

It is a happy number.

It is a super-2 number, since 2×129228787084800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61566834151 + ... + 61566836249.

It is an arithmetic number, because the mean of its divisors is an integer number (329057259300).

Almost surely, 2^{129228787084800} is an apocalyptic number.

129228787084800 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 129228787084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236921226696000).

129228787084800 is an abundant number, since it is smaller than the sum of its proper divisors (344613666307200).

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

129228787084800 is a wasteful number, since it uses less digits than its factorization.

129228787084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 66.

The spelling of 129228787084800 in words is "one hundred twenty-nine trillion, two hundred twenty-eight billion, seven hundred eighty-seven million, eighty-four thousand, eight hundred".