129216048000 has 768 divisors, whose sum is σ = 491644520640. Its totient is φ = 29904076800.

The previous prime is 129216047981. The next prime is 129216048011. The reversal of 129216048000 is 840612921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137903532 + ... + 137904468.

Almost surely, 2^129216048000 is an apocalyptic number.

129216048000 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 129216048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245822260320).

129216048000 is an abundant number, since it is smaller than the sum of its proper divisors (362428472640).

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

129216048000 is a wasteful number, since it uses less digits than its factorization.

129216048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 129216048000 in words is "one hundred twenty-nine billion, two hundred sixteen million, forty-eight thousand".