1212525200 has 60 divisors (see below), whose sum is σ = 2942032308. Its totient is φ = 480192000.

The previous prime is 1212525199. The next prime is 1212525203. The reversal of 1212525200 is 25252121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 67108864 + 1145416336 = 8192^2 + 33844^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1212525203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25394 + ... + 55406.

Almost surely, 2^1212525200 is an apocalyptic number.

1212525200 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 1212525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471016154).

1212525200 is an abundant number, since it is smaller than the sum of its proper divisors (1729507108).

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

1212525200 is a wasteful number, since it uses less digits than its factorization.

1212525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30132 (or 30121 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1212525200 is about 34821.3325419921. The cubic root of 1212525200 is about 1066.3430050990.

Adding to 1212525200 its reverse (25252121), we get a palindrome (1237777321).

The spelling of 1212525200 in words is "one billion, two hundred twelve million, five hundred twenty-five thousand, two hundred".