198129120 has 96 divisors (see below), whose sum is σ = 713276928. Its totient is φ = 45285888.

The previous prime is 198129119. The next prime is 198129137. The reversal of 198129120 is 21921891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×198129120³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26124 + ... + 32843.

It is an arithmetic number, because the mean of its divisors is an integer number (7429968).

Almost surely, 2^198129120 is an apocalyptic number.

198129120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198129120 is an abundant number, since it is smaller than the sum of its proper divisors (515147808).

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

198129120 is a wasteful number, since it uses less digits than its factorization.

198129120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58992 (or 58984 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 198129120 is about 14075.8346111341. The cubic root of 198129120 is about 582.9743365708.

The spelling of 198129120 in words is "one hundred ninety-eight million, one hundred twenty-nine thousand, one hundred twenty".