129828067200 has 288 divisors, whose sum is σ = 498892834440. Its totient is φ = 31957585920.

The previous prime is 129828067199. The next prime is 129828067219. The reversal of 129828067200 is 2760828921.

129828067200 is a `hidden beast` number, since 1 + 298 + 280 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201019 + ... + 547781.

Almost surely, 2^129828067200 is an apocalyptic number.

129828067200 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 129828067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249446417220).

129828067200 is an abundant number, since it is smaller than the sum of its proper divisors (369064767240).

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

129828067200 is a wasteful number, since it uses less digits than its factorization.

129828067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346806 (or 346786 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 129828067200 in words is "one hundred twenty-nine billion, eight hundred twenty-eight million, sixty-seven thousand, two hundred".