129678237472320 has 1344 divisors, whose sum is σ = 503307623669760. Its totient is φ = 31660089753600.

The previous prime is 129678237472319. The next prime is 129678237472337. The reversal of 129678237472320 is 23274732876921.

It is a happy number.

129678237472320 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 7 + 8 + 237 + 4 + 72 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43648008435 + ... + 43648011405.

It is an arithmetic number, because the mean of its divisors is an integer number (374484839040).

Almost surely, 2^{129678237472320} is an apocalyptic number.

129678237472320 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 129678237472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251653811834880).

129678237472320 is an abundant number, since it is smaller than the sum of its proper divisors (373629386197440).

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

129678237472320 is a wasteful number, since it uses less digits than its factorization.

129678237472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 129678237472320 in words is "one hundred twenty-nine trillion, six hundred seventy-eight billion, two hundred thirty-seven million, four hundred seventy-two thousand, three hundred twenty".