129288876000 has 384 divisors, whose sum is σ = 453567703680. Its totient is φ = 32079872000.

The previous prime is 129288875999. The next prime is 129288876037. The reversal of 129288876000 is 678882921.

It is a happy number.

It is a super-2 number, since 2×129288876000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18152440 + ... + 18159560.

It is an arithmetic number, because the mean of its divisors is an integer number (1181165895).

Almost surely, 2^129288876000 is an apocalyptic number.

129288876000 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 129288876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226783851840).

129288876000 is an abundant number, since it is smaller than the sum of its proper divisors (324278827680).

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

129288876000 is a wasteful number, since it uses less digits than its factorization.

129288876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 129288876000 in words is "one hundred twenty-nine billion, two hundred eighty-eight million, eight hundred seventy-six thousand".