1221300200 has 144 divisors (see below), whose sum is σ = 3018171780. Its totient is φ = 459397120.

The previous prime is 1221300193. The next prime is 1221300203. The reversal of 1221300200 is 20031221.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 2033476 + 1219266724 = 1426^2 + 34918^2 .

It is not an unprimeable number, because it can be changed into a prime (1221300203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8914532 + ... + 8914668.

Almost surely, 2^1221300200 is an apocalyptic number.

1221300200 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 1221300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509085890).

1221300200 is an abundant number, since it is smaller than the sum of its proper divisors (1796871580).

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

1221300200 is a wasteful number, since it uses less digits than its factorization.

1221300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1221300200 is about 34947.1057456837. The cubic root of 1221300200 is about 1068.9091861880.

Adding to 1221300200 its reverse (20031221), we get a palindrome (1241331421).

The spelling of 1221300200 in words is "one billion, two hundred twenty-one million, three hundred thousand, two hundred".