1221030010200 has 1152 divisors, whose sum is σ = 5193792576000. Its totient is φ = 233262489600.

The previous prime is 1221030010097. The next prime is 1221030010217. The reversal of 1221030010200 is 20100301221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1509307396 + ... + 1509308204.

It is an arithmetic number, because the mean of its divisors is an integer number (4508500500).

Almost surely, 2^{1221030010200} is an apocalyptic number.

1221030010200 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 1221030010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596896288000).

1221030010200 is an abundant number, since it is smaller than the sum of its proper divisors (3972762565800).

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

1221030010200 is a wasteful number, since it uses less digits than its factorization.

1221030010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1221030010200 its reverse (20100301221), we get a palindrome (1241130311421).

The spelling of 1221030010200 in words is "one trillion, two hundred twenty-one billion, thirty million, ten thousand, two hundred".