12251920 has 40 divisors (see below), whose sum is σ = 29473560. Its totient is φ = 4730880.

The previous prime is 12251909. The next prime is 12251929. The reversal of 12251920 is 2915221.

12251920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 12054784 = 444^2 + 3472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12251891 and 12251900.

It is not an unprimeable number, because it can be changed into a prime (12251929) 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, 321 + ... + 4960.

It is an arithmetic number, because the mean of its divisors is an integer number (736839).

Almost surely, 2^12251920 is an apocalyptic number.

12251920 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 12251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736780).

12251920 is an abundant number, since it is smaller than the sum of its proper divisors (17221640).

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

12251920 is a wasteful number, since it uses less digits than its factorization.

12251920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 12251920 is about 3500.2742749676. The cubic root of 12251920 is about 230.5338575624.

The spelling of 12251920 in words is "twelve million, two hundred fifty-one thousand, nine hundred twenty".