204412120 has 64 divisors (see below), whose sum is σ = 503223840. Its totient is φ = 74112000.

The previous prime is 204412099. The next prime is 204412121. The reversal of 204412120 is 21214402.

It is a junction number, because it is equal to n+sod(n) for n = 204412094 and 204412103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204412121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 264054 + ... + 264826.

Almost surely, 2^204412120 is an apocalyptic number.

204412120 is a gapful number since it is divisible by the number (20) 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 204412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251611920).

204412120 is an abundant number, since it is smaller than the sum of its proper divisors (298811720).

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

204412120 is a wasteful number, since it uses less digits than its factorization.

204412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 204412120 is about 14297.2766637566. The cubic root of 204412120 is about 589.0726790498.

Adding to 204412120 its reverse (21214402), we get a palindrome (225626522).

The spelling of 204412120 in words is "two hundred four million, four hundred twelve thousand, one hundred twenty".