10412024220 has 288 divisors, whose sum is σ = 35147112000. Its totient is φ = 2478366720.

The previous prime is 10412024213. The next prime is 10412024239. The reversal of 10412024220 is 2242021401.

10412024220 is a `hidden beast` number, since 1 + 0 + 41 + 202 + 422 + 0 = 666.

10412024220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10412024193 and 10412024202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20865531 + ... + 20866029.

Almost surely, 2^10412024220 is an apocalyptic number.

10412024220 is a gapful number since it is divisible by the number (10) 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 10412024220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17573556000).

10412024220 is an abundant number, since it is smaller than the sum of its proper divisors (24735087780).

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

10412024220 is a wasteful number, since it uses less digits than its factorization.

10412024220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 800 counting only the distinct ones).

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

Adding to 10412024220 its reverse (2242021401), we get a palindrome (12654045621).

The spelling of 10412024220 in words is "ten billion, four hundred twelve million, twenty-four thousand, two hundred twenty".