10420012224 has 168 divisors, whose sum is σ = 32289993840. Its totient is φ = 3201472512.

The previous prime is 10420012151. The next prime is 10420012277. The reversal of 10420012224 is 42221002401.

10420012224 is a `hidden beast` number, since 10 + 420 + 0 + 12 + 224 = 666.

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 = 10420012197 and 10420012206.

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 23 ways as a sum of consecutive naturals, for example, 392062 + ... + 417794.

Almost surely, 2^10420012224 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 10420012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144996920).

10420012224 is an abundant number, since it is smaller than the sum of its proper divisors (21869981616).

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

10420012224 is a wasteful number, since it uses less digits than its factorization.

10420012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25807 (or 25794 counting only the distinct ones).

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

Adding to 10420012224 its reverse (42221002401), we get a palindrome (52641014625).

The spelling of 10420012224 in words is "ten billion, four hundred twenty million, twelve thousand, two hundred twenty-four".