129712324403200 has 2688 divisors, whose sum is σ = 449473943255040. Its totient is φ = 35876398694400.

The previous prime is 129712324403153. The next prime is 129712324403201. The reversal of 129712324403200 is 2304423217921.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129712324403201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 672084582304 + ... + 672084582496.

Almost surely, 2^{129712324403200} is an apocalyptic number.

129712324403200 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 129712324403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224736971627520).

129712324403200 is an abundant number, since it is smaller than the sum of its proper divisors (319761618851840).

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

129712324403200 is a wasteful number, since it uses less digits than its factorization.

129712324403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 129712324403200 in words is "one hundred twenty-nine trillion, seven hundred twelve billion, three hundred twenty-four million, four hundred three thousand, two hundred".