129263095312032 has 384 divisors, whose sum is σ = 399748172544000. Its totient is φ = 36159965614080.

The previous prime is 129263095312007. The next prime is 129263095312073. The reversal of 129263095312032 is 230213590362921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682658519 + ... + 1682735337.

It is an arithmetic number, because the mean of its divisors is an integer number (1041010866000).

Almost surely, 2^{129263095312032} is an apocalyptic number.

129263095312032 is a gapful number since it is divisible by the number (12) 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 129263095312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199874086272000).

129263095312032 is an abundant number, since it is smaller than the sum of its proper divisors (270485077231968).

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

129263095312032 is a wasteful number, since it uses less digits than its factorization.

129263095312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79284 (or 79276 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 129263095312032 in words is "one hundred twenty-nine trillion, two hundred sixty-three billion, ninety-five million, three hundred twelve thousand, thirty-two".