12120400224 has 48 divisors (see below), whose sum is σ = 35351169840. Its totient is φ = 4040133120.

The previous prime is 12120400177. The next prime is 12120400301. The reversal of 12120400224 is 42200402121.

12120400224 is a `hidden beast` number, since 1 + 21 + 20 + 400 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 12120400197 and 12120400206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7013257 + ... + 7014984.

It is an arithmetic number, because the mean of its divisors is an integer number (736482705).

Almost surely, 2^12120400224 is an apocalyptic number.

It is an amenable number.

12120400224 is an abundant number, since it is smaller than the sum of its proper divisors (23230769616).

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

12120400224 is a wasteful number, since it uses less digits than its factorization.

12120400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14028260 (or 14028246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12120400224 its reverse (42200402121), we get a palindrome (54320802345).

The spelling of 12120400224 in words is "twelve billion, one hundred twenty million, four hundred thousand, two hundred twenty-four".