1210133200 has 60 divisors (see below), whose sum is σ = 2937411820. Its totient is φ = 479047680.

The previous prime is 1210133167. The next prime is 1210133203. The reversal of 1210133200 is 23310121.

It can be written as a sum of positive squares in 6 ways, for example, as 193543744 + 1016589456 = 13912^2 + 31884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210133203) 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, 23206 + ... + 54394.

Almost surely, 2^1210133200 is an apocalyptic number.

1210133200 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 1210133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468705910).

1210133200 is an abundant number, since it is smaller than the sum of its proper divisors (1727278620).

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

1210133200 is a wasteful number, since it uses less digits than its factorization.

1210133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31304 (or 31293 counting only the distinct ones).

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

The square root of 1210133200 is about 34786.9688245469. The cubic root of 1210133200 is about 1065.6413367694.

Adding to 1210133200 its reverse (23310121), we get a palindrome (1233443321).

The spelling of 1210133200 in words is "one billion, two hundred ten million, one hundred thirty-three thousand, two hundred".