12192120 has 160 divisors (see below), whose sum is σ = 42340320. Its totient is φ = 3144960.

The previous prime is 12192109. The next prime is 12192121. The reversal of 12192120 is 2129121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12192093 and 12192102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12192121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 171685 + ... + 171755.

It is an arithmetic number, because the mean of its divisors is an integer number (264627).

Almost surely, 2^12192120 is an apocalyptic number.

12192120 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 12192120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170160).

12192120 is an abundant number, since it is smaller than the sum of its proper divisors (30148200).

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

12192120 is a wasteful number, since it uses less digits than its factorization.

12192120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12192120 is about 3491.7216383899. The cubic root of 12192120 is about 230.1581772666.

The spelling of 12192120 in words is "twelve million, one hundred ninety-two thousand, one hundred twenty".