12148416 has 168 divisors, whose sum is σ = 41842944. Its totient is φ = 3294720.

The previous prime is 12148397. The next prime is 12148453. The reversal of 12148416 is 61484121.

It is a happy number.

12148416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×12148416² = 295168022618112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12148416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92671 + ... + 92801.

Almost surely, 2^12148416 is an apocalyptic number.

12148416 is a gapful number since it is divisible by the number (16) 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 12148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921472).

12148416 is an abundant number, since it is smaller than the sum of its proper divisors (29694528).

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

12148416 is a wasteful number, since it uses less digits than its factorization.

12148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12148416 is about 3485.4577891577. The cubic root of 12148416 is about 229.8828388794.

The spelling of 12148416 in words is "twelve million, one hundred forty-eight thousand, four hundred sixteen".