129669120 has 384 divisors, whose sum is σ = 534643200. Its totient is φ = 29196288.

The previous prime is 129669109. The next prime is 129669131. The reversal of 129669120 is 21966921.

It is an interprime number because it is at equal distance from previous prime (129669109) and next prime (129669131).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935327 + ... + 1935393.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^129669120 is an apocalyptic number.

129669120 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 129669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

129669120 is an abundant number, since it is smaller than the sum of its proper divisors (404974080).

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

129669120 is an equidigital number, since it uses as much as digits as its factorization.

129669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 129669120 is about 11387.2349584963. The cubic root of 129669120 is about 506.1495493428.

The spelling of 129669120 in words is "one hundred twenty-nine million, six hundred sixty-nine thousand, one hundred twenty".