12144100032 has 84 divisors (see below), whose sum is σ = 34866306696. Its totient is φ = 4041354240.

The previous prime is 12144100013. The next prime is 12144100037. The reversal of 12144100032 is 23000144121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12144099978 and 12144100014.

It is not an unprimeable number, because it can be changed into a prime (12144100037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338307 + ... + 372477.

Almost surely, 2^12144100032 is an apocalyptic number.

12144100032 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 12144100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17433153348).

12144100032 is an abundant number, since it is smaller than the sum of its proper divisors (22722206664).

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

12144100032 is a wasteful number, since it uses less digits than its factorization.

12144100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34806 (or 34793 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12144100032 its reverse (23000144121), we get a palindrome (35144244153).

The spelling of 12144100032 in words is "twelve billion, one hundred forty-four million, one hundred thousand, thirty-two".