12193632 has 96 divisors (see below), whose sum is σ = 38828160. Its totient is φ = 3692160.

The previous prime is 12193619. The next prime is 12193661. The reversal of 12193632 is 23639121.

12193632 is a `hidden beast` number, since 1 + 21 + 9 + 3 + 632 = 666.

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

It is a super-2 number, since 2×12193632² = 297369322702848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12193596 and 12193605.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8863 + ... + 10145.

It is an arithmetic number, because the mean of its divisors is an integer number (404460).

Almost surely, 2^12193632 is an apocalyptic number.

12193632 is a gapful number since it is divisible by the number (12) 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 12193632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19414080).

12193632 is an abundant number, since it is smaller than the sum of its proper divisors (26634528).

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

12193632 is a wasteful number, since it uses less digits than its factorization.

12193632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1299 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12193632 is about 3491.9381437820. The cubic root of 12193632 is about 230.1676911925.

It can be divided in two parts, 1219 and 3632, that added together give a triangular number (4851 = T₉₈).

The spelling of 12193632 in words is "twelve million, one hundred ninety-three thousand, six hundred thirty-two".