12156144 has 240 divisors, whose sum is σ = 44330496. Its totient is φ = 2787840.

The previous prime is 12156119. The next prime is 12156149. The reversal of 12156144 is 44165121.

It is a happy number.

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 (12156149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528517 + ... + 528539.

Almost surely, 2^12156144 is an apocalyptic number.

12156144 is a gapful number since it is divisible by the number (14) 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 12156144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165248).

12156144 is an abundant number, since it is smaller than the sum of its proper divisors (32174352).

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

12156144 is a wasteful number, since it uses less digits than its factorization.

12156144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 12156144 is about 3486.5662190757. The cubic root of 12156144 is about 229.9315738478.

It can be divided in two parts, 121 and 56144, that added together give a palindrome (56265).

The spelling of 12156144 in words is "twelve million, one hundred fifty-six thousand, one hundred forty-four".