1261205200 has 60 divisors (see below), whose sum is σ = 3033531040. Its totient is φ = 503902080.

The previous prime is 1261205189. The next prime is 1261205201. The reversal of 1261205200 is 25021621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261205201) 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, 577711 + ... + 579889.

Almost surely, 2^1261205200 is an apocalyptic number.

1261205200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261205200 is an abundant number, since it is smaller than the sum of its proper divisors (1772325840).

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

1261205200 is a wasteful number, since it uses less digits than its factorization.

1261205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1261205200 is about 35513.4509728356. The cubic root of 1261205200 is about 1080.4265576131.

Adding to 1261205200 its reverse (25021621), we get a palindrome (1286226821).

The spelling of 1261205200 in words is "one billion, two hundred sixty-one million, two hundred five thousand, two hundred".