1221221020200 has 192 divisors, whose sum is σ = 4030878168000. Its totient is φ = 304789770240.

The previous prime is 1221221020193. The next prime is 1221221020213. The reversal of 1221221020200 is 20201221221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1221221020200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491366 + ... + 2160234.

It is an arithmetic number, because the mean of its divisors is an integer number (20994157125).

Almost surely, 2^{1221221020200} is an apocalyptic number.

1221221020200 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 1221221020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015439084000).

1221221020200 is an abundant number, since it is smaller than the sum of its proper divisors (2809657147800).

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

1221221020200 is a wasteful number, since it uses less digits than its factorization.

1221221020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669084 (or 669075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1221221020200 its reverse (20201221221), we get a palindrome (1241422241421).

The spelling of 1221221020200 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty thousand, two hundred".