1201331200 has 132 divisors (see below), whose sum is σ = 3006338832. Its totient is φ = 475955200.

The previous prime is 1201331191. The next prime is 1201331249. The reversal of 1201331200 is 21331021.

It is a congruent number.

It is an unprimeable number.

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, 4275060 + ... + 4275340.

Almost surely, 2^1201331200 is an apocalyptic number.

1201331200 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 1201331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503169416).

1201331200 is an abundant number, since it is smaller than the sum of its proper divisors (1805007632).

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

1201331200 is a wasteful number, since it uses less digits than its factorization.

1201331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1201331200 is about 34660.2250425470. The cubic root of 1201331200 is about 1063.0513714931.

Adding to 1201331200 its reverse (21331021), we get a palindrome (1222662221).

The spelling of 1201331200 in words is "one billion, two hundred one million, three hundred thirty-one thousand, two hundred".