12195840 has 96 divisors (see below), whose sum is σ = 39115440. Its totient is φ = 3244032.

The previous prime is 12195811. The next prime is 12195847. The reversal of 12195840 is 4859121.

It is a happy number.

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

It is a super-3 number, since 3×12195840³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12195798 and 12195807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12195847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30522 + ... + 30918.

Almost surely, 2^12195840 is an apocalyptic number.

12195840 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 12195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557720).

12195840 is an abundant number, since it is smaller than the sum of its proper divisors (26919600).

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

12195840 is an equidigital number, since it uses as much as digits as its factorization.

12195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 12195840 is about 3492.2542862741. The cubic root of 12195840 is about 230.1815831319.

The spelling of 12195840 in words is "twelve million, one hundred ninety-five thousand, eight hundred forty".