129665634120 has 192 divisors, whose sum is σ = 459891432000. Its totient is φ = 31422620160.

The previous prime is 129665634073. The next prime is 129665634143. The reversal of 129665634120 is 21436566921.

129665634120 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 6 + 5 + 634 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16838031 + ... + 16845729.

It is an arithmetic number, because the mean of its divisors is an integer number (2395267875).

Almost surely, 2^129665634120 is an apocalyptic number.

129665634120 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 129665634120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229945716000).

129665634120 is an abundant number, since it is smaller than the sum of its proper divisors (330225797880).

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

129665634120 is a wasteful number, since it uses less digits than its factorization.

129665634120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11980 (or 11973 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 129665634120 in words is "one hundred twenty-nine billion, six hundred sixty-five million, six hundred thirty-four thousand, one hundred twenty".