1201413200 has 60 divisors (see below), whose sum is σ = 3108439068. Its totient is φ = 443596800.

The previous prime is 1201413181. The next prime is 1201413203. The reversal of 1201413200 is 23141021.

It can be written as a sum of positive squares in 6 ways, for example, as 929296 + 1200483904 = 964^2 + 34648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201413203) 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 11 ways as a sum of consecutive naturals, for example, 110321 + ... + 120720.

Almost surely, 2^1201413200 is an apocalyptic number.

1201413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201413200 is an abundant number, since it is smaller than the sum of its proper divisors (1907025868).

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

1201413200 is a wasteful number, since it uses less digits than its factorization.

1201413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231072 (or 231061 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1201413200 is about 34661.4079344738. The cubic root of 1201413200 is about 1063.0755580591.

Adding to 1201413200 its reverse (23141021), we get a palindrome (1224554221).

The spelling of 1201413200 in words is "one billion, two hundred one million, four hundred thirteen thousand, two hundred".