1204214200 has 144 divisors (see below), whose sum is σ = 3291284880. Its totient is φ = 408522240.

The previous prime is 1204214191. The next prime is 1204214203. The reversal of 1204214200 is 24124021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204214203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1008804 + ... + 1009996.

It is an arithmetic number, because the mean of its divisors is an integer number (22856145).

Almost surely, 2^1204214200 is an apocalyptic number.

1204214200 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 1204214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645642440).

1204214200 is an abundant number, since it is smaller than the sum of its proper divisors (2087070680).

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

1204214200 is a wasteful number, since it uses less digits than its factorization.

1204214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1310 counting only the distinct ones).

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

The square root of 1204214200 is about 34701.7895792133. The cubic root of 1204214200 is about 1063.9010757521.

Adding to 1204214200 its reverse (24124021), we get a palindrome (1228338221).

The spelling of 1204214200 in words is "one billion, two hundred four million, two hundred fourteen thousand, two hundred".