204214120 has 48 divisors (see below), whose sum is σ = 505062180. Its totient is φ = 74257920.

The previous prime is 204214117. The next prime is 204214133. The reversal of 204214120 is 21412402.

204214120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 203861284 + 352836 = 14278^2 + 594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204214094 and 204214103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16257 + ... + 25936.

Almost surely, 2^204214120 is an apocalyptic number.

204214120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204214120 is an abundant number, since it is smaller than the sum of its proper divisors (300848060).

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

204214120 is a wasteful number, since it uses less digits than its factorization.

204214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42226 (or 42211 counting only the distinct ones).

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

The square root of 204214120 is about 14290.3505905209. The cubic root of 204214120 is about 588.8824195062.

Adding to 204214120 its reverse (21412402), we get a palindrome (225626522).

The spelling of 204214120 in words is "two hundred four million, two hundred fourteen thousand, one hundred twenty".