12193152 has 64 divisors (see below), whose sum is σ = 32790960. Its totient is φ = 4014080.

The previous prime is 12193147. The next prime is 12193157. The reversal of 12193152 is 25139121.

It is an interprime number because it is at equal distance from previous prime (12193147) and next prime (12193157).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12193157) 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, 43252 + ... + 43532.

Almost surely, 2^12193152 is an apocalyptic number.

12193152 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 12193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395480).

12193152 is an abundant number, since it is smaller than the sum of its proper divisors (20597808).

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

12193152 is a wasteful number, since it uses less digits than its factorization.

12193152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 12193152 is about 3491.8694133659. The cubic root of 12193152 is about 230.1646709838.

It can be divided in two parts, 1219 and 3152, that added together give a triangular number (4371 = T₉₃).

The spelling of 12193152 in words is "twelve million, one hundred ninety-three thousand, one hundred fifty-two".