1205245200 has 60 divisors (see below), whose sum is σ = 3860805968. Its totient is φ = 321398400.

The previous prime is 1205245177. The next prime is 1205245207. The reversal of 1205245200 is 25425021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (1205245207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500986 + ... + 503385.

Almost surely, 2^1205245200 is an apocalyptic number.

1205245200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205245200 is an abundant number, since it is smaller than the sum of its proper divisors (2655560768).

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

1205245200 is a wasteful number, since it uses less digits than its factorization.

1205245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004392 (or 1004381 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1205245200 is about 34716.6415426377. The cubic root of 1205245200 is about 1064.2046123163.

The spelling of 1205245200 in words is "one billion, two hundred five million, two hundred forty-five thousand, two hundred".