129350131200 has 300 divisors, whose sum is σ = 478738179480. Its totient is φ = 34493091840.

The previous prime is 129350131171. The next prime is 129350131201. The reversal of 129350131200 is 2131053921.

129350131200 is a `hidden beast` number, since 129 + 3 + 501 + 31 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129350131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 974421 + ... + 1099179.

Almost surely, 2^129350131200 is an apocalyptic number.

129350131200 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 129350131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239369089740).

129350131200 is an abundant number, since it is smaller than the sum of its proper divisors (349388048280).

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

129350131200 is an equidigital number, since it uses as much as digits as its factorization.

129350131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124799 (or 124769 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 129350131200 in words is "one hundred twenty-nine billion, three hundred fifty million, one hundred thirty-one thousand, two hundred".