12134401224 has 128 divisors (see below), whose sum is σ = 34992345600. Its totient is φ = 3467888640.

The previous prime is 12134401217. The next prime is 12134401247. The reversal of 12134401224 is 42210443121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12134401194 and 12134401203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133304 + ... + 1143960.

It is an arithmetic number, because the mean of its divisors is an integer number (273377700).

Almost surely, 2^12134401224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134401224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496172800).

12134401224 is an abundant number, since it is smaller than the sum of its proper divisors (22857944376).

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

12134401224 is a wasteful number, since it uses less digits than its factorization.

12134401224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10923 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12134401224 its reverse (42210443121), we get a palindrome (54344844345).

The spelling of 12134401224 in words is "twelve billion, one hundred thirty-four million, four hundred one thousand, two hundred twenty-four".