129292800000 has 1248 divisors, whose sum is σ = 544666639104. Its totient is φ = 26542080000.

The previous prime is 129292799981. The next prime is 129292800017. The reversal of 129292800000 is 8292921.

It is a happy number.

129292800000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1248).

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, 3494399982 + ... + 3494400018.

Almost surely, 2^129292800000 is an apocalyptic number.

129292800000 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 129292800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272333319552).

129292800000 is an abundant number, since it is smaller than the sum of its proper divisors (415373839104).

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

129292800000 is an frugal number, since it uses more digits than its factorization.

129292800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 129292800000 in words is "one hundred twenty-nine billion, two hundred ninety-two million, eight hundred thousand".