129216228480 has 320 divisors, whose sum is σ = 467967170880. Its totient is φ = 33971374080.

The previous prime is 129216228431. The next prime is 129216228481. The reversal of 129216228480 is 84822612921.

129216228480 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 162 + 2 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×129216228480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (129216228481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3663087 + ... + 3698193.

It is an arithmetic number, because the mean of its divisors is an integer number (1462397409).

Almost surely, 2^129216228480 is an apocalyptic number.

129216228480 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 129216228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233983585440).

129216228480 is an abundant number, since it is smaller than the sum of its proper divisors (338750942400).

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

129216228480 is an equidigital number, since it uses as much as digits as its factorization.

129216228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35209 (or 35188 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 129216228480 in words is "one hundred twenty-nine billion, two hundred sixteen million, two hundred twenty-eight thousand, four hundred eighty".