129130444800 has 1728 divisors, whose sum is σ = 580900320000. Its totient is φ = 27311800320.

The previous prime is 129130444771. The next prime is 129130444829. The reversal of 129130444800 is 8444031921.

It is a happy number.

129130444800 is a `hidden beast` number, since 1 + 2 + 9 + 130 + 44 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129130444771) and next prime (129130444829).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3003033579 + ... + 3003033621.

Almost surely, 2^129130444800 is an apocalyptic number.

129130444800 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 129130444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290450160000).

129130444800 is an abundant number, since it is smaller than the sum of its proper divisors (451769875200).

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

129130444800 is a wasteful number, since it uses less digits than its factorization.

129130444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 129130444800 in words is "one hundred twenty-nine billion, one hundred thirty million, four hundred forty-four thousand, eight hundred".