129090931200 has 2160 divisors, whose sum is σ = 614115902400. Its totient is φ = 26824089600.

The previous prime is 129090931187. The next prime is 129090931201. The reversal of 129090931200 is 2139090921.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (129090931201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11735539195 + ... + 11735539205.

Almost surely, 2^129090931200 is an apocalyptic number.

129090931200 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 129090931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307057951200).

129090931200 is an abundant number, since it is smaller than the sum of its proper divisors (485024971200).

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

129090931200 is an frugal number, since it uses more digits than its factorization.

129090931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 129090931200 in words is "one hundred twenty-nine billion, ninety million, nine hundred thirty-one thousand, two hundred".