192129120 has 144 divisors (see below), whose sum is σ = 684264672. Its totient is φ = 48998400.

The previous prime is 192129107. The next prime is 192129131. The reversal of 192129120 is 21921291.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30220 + ... + 36020.

It is an arithmetic number, because the mean of its divisors is an integer number (4751838).

Almost surely, 2^192129120 is an apocalyptic number.

192129120 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 192129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342132336).

192129120 is an abundant number, since it is smaller than the sum of its proper divisors (492135552).

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

192129120 is a wasteful number, since it uses less digits than its factorization.

192129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 192129120 is about 13861.0648941559. The cubic root of 192129120 is about 577.0291208556.

The spelling of 192129120 in words is "one hundred ninety-two million, one hundred twenty-nine thousand, one hundred twenty".