129039220800 has 1008 divisors, whose sum is σ = 575749399680. Its totient is φ = 27749744640.

The previous prime is 129039220757. The next prime is 129039220801. The reversal of 129039220800 is 8022930921.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×129039220800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (129039220801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46265806 + ... + 46268594.

It is an arithmetic number, because the mean of its divisors is an integer number (571179960).

Almost surely, 2^129039220800 is an apocalyptic number.

129039220800 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 129039220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287874699840).

129039220800 is an abundant number, since it is smaller than the sum of its proper divisors (446710178880).

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

129039220800 is a wasteful number, since it uses less digits than its factorization.

129039220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 129039220800 in words is "one hundred twenty-nine billion, thirty-nine million, two hundred twenty thousand, eight hundred".