129075378331200 has 1344 divisors, whose sum is σ = 548555904460800. Its totient is φ = 25860037017600.

The previous prime is 129075378331187. The next prime is 129075378331231. The reversal of 129075378331200 is 2133873570921.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 640214410 + ... + 640415990.

Almost surely, 2^{129075378331200} is an apocalyptic number.

129075378331200 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 129075378331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274277952230400).

129075378331200 is an abundant number, since it is smaller than the sum of its proper divisors (419480526129600).

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

129075378331200 is a wasteful number, since it uses less digits than its factorization.

129075378331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201708 (or 201693 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 129075378331200 in words is "one hundred twenty-nine trillion, seventy-five billion, three hundred seventy-eight million, three hundred thirty-one thousand, two hundred".