129574338912001 has 8 divisors (see below), whose sum is σ = 132813650454408. Its totient is φ = 126413989115200.

The previous prime is 129574338911989. The next prime is 129574338912157. The reversal of 129574338912001 is 100219833475921.

It can be written as a sum of positive squares in 4 ways, for example, as 92569028838400 + 37005310073601 = 9621280^2 + 6083199^2 .

It is not a de Polignac number, because 129574338912001 - 2¹³ = 129574338903809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129574338912701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939951820 + ... + 940089661.

It is an arithmetic number, because the mean of its divisors is an integer number (16601706306801).

Almost surely, 2^{129574338912001} is an apocalyptic number.

It is an amenable number.

129574338912001 is a deficient number, since it is larger than the sum of its proper divisors (3239311542407).

129574338912001 is an frugal number, since it uses more digits than its factorization.

129574338912001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880041604 (or 1880041522 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 129574338912001 in words is "one hundred twenty-nine trillion, five hundred seventy-four billion, three hundred thirty-eight million, nine hundred twelve thousand, one".