1002211221200 has 60 divisors (see below), whose sum is σ = 2751785675040. Its totient is φ = 343615274880.

The previous prime is 1002211221119. The next prime is 1002211221203. The reversal of 1002211221200 is 21221122001.

1002211221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002211221203) 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, 178963490 + ... + 178969089.

It is an arithmetic number, because the mean of its divisors is an integer number (45863094584).

Almost surely, 2^{1002211221200} is an apocalyptic number.

1002211221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002211221200 is an abundant number, since it is smaller than the sum of its proper divisors (1749574453840).

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

1002211221200 is a wasteful number, since it uses less digits than its factorization.

1002211221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357932604 (or 357932593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002211221200 its reverse (21221122001), we get a palindrome (1023432343201).

The spelling of 1002211221200 in words is "one trillion, two billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".