12161920 has 64 divisors (see below), whose sum is σ = 30061440. Its totient is φ = 4700160.

The previous prime is 12161911. The next prime is 12161923. The reversal of 12161920 is 2916121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12161891 and 12161900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19534 + ... + 20146.

It is an arithmetic number, because the mean of its divisors is an integer number (469710).

Almost surely, 2^12161920 is an apocalyptic number.

12161920 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 12161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030720).

12161920 is an abundant number, since it is smaller than the sum of its proper divisors (17899520).

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

12161920 is an equidigital number, since it uses as much as digits as its factorization.

12161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 12161920 is about 3487.3944428470. The cubic root of 12161920 is about 229.9679854621.

It can be divided in two parts, 1216 and 1920, that added together give a square (3136 = 56²).

The spelling of 12161920 in words is "twelve million, one hundred sixty-one thousand, nine hundred twenty".