12195972 has 18 divisors (see below), whose sum is σ = 30828798. Its totient is φ = 4065312.

The previous prime is 12195947. The next prime is 12195973. The reversal of 12195972 is 27959121.

It can be written as a sum of positive squares in only one way, i.e., 6320196 + 5875776 = 2514^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 338777 = 12195972 / (1 + 2 + 1 + 9 + 5 + 9 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (12195973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169353 + ... + 169424.

It is an arithmetic number, because the mean of its divisors is an integer number (1712711).

Almost surely, 2^12195972 is an apocalyptic number.

12195972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12195972 is an abundant number, since it is smaller than the sum of its proper divisors (18632826).

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

12195972 is a wasteful number, since it uses less digits than its factorization.

12195972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338787 (or 338782 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 12195972 is about 3492.2731851904. The cubic root of 12195972 is about 230.1824135752.

The spelling of 12195972 in words is "twelve million, one hundred ninety-five thousand, nine hundred seventy-two".