129238280970240 has 896 divisors, whose sum is σ = 452843378507520. Its totient is φ = 31278904639488.

The previous prime is 129238280970179. The next prime is 129238280970241. The reversal of 129238280970240 is 42079082832921.

It is not an unprimeable number, because it can be changed into a prime (129238280970241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91723406656 + ... + 91723408064.

It is an arithmetic number, because the mean of its divisors is an integer number (505405556370).

Almost surely, 2^{129238280970240} is an apocalyptic number.

129238280970240 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 129238280970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226421689253760).

129238280970240 is an abundant number, since it is smaller than the sum of its proper divisors (323605097537280).

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

129238280970240 is a wasteful number, since it uses less digits than its factorization.

129238280970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 129238280970240 in words is "one hundred twenty-nine trillion, two hundred thirty-eight billion, two hundred eighty million, nine hundred seventy thousand, two hundred forty".