221002211211200 has 168 divisors, whose sum is σ = 545739580014720. Its totient is φ = 88086254284800.

The previous prime is 221002211211151. The next prime is 221002211211253. The reversal of 221002211211200 is 2112112200122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3595196465 + ... + 3595257935.

It is an arithmetic number, because the mean of its divisors is an integer number (3248449881040).

Almost surely, 2^{221002211211200} is an apocalyptic number.

221002211211200 is a gapful number since it is divisible by the number (20) 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 221002211211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272869790007360).

221002211211200 is an abundant number, since it is smaller than the sum of its proper divisors (324737368803520).

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

221002211211200 is a wasteful number, since it uses less digits than its factorization.

221002211211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69455 (or 69440 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221002211211200 its reverse (2112112200122), we get a palindrome (223114323411322).

The spelling of 221002211211200 in words is "two hundred twenty-one trillion, two billion, two hundred eleven million, two hundred eleven thousand, two hundred".