1002222211200 has 384 divisors, whose sum is σ = 3818125624320. Its totient is φ = 226318110720.

The previous prime is 1002222211063. The next prime is 1002222211231. The reversal of 1002222211200 is 21122222001.

It is a tau number, because it is divible by the number of its divisors (384).

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 1002222211200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5487757 + ... + 5667443.

It is an arithmetic number, because the mean of its divisors is an integer number (9943035480).

Almost surely, 2^{1002222211200} is an apocalyptic number.

1002222211200 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 1002222211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909062812160).

1002222211200 is an abundant number, since it is smaller than the sum of its proper divisors (2815903413120).

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

1002222211200 is a wasteful number, since it uses less digits than its factorization.

1002222211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179804 (or 179787 counting only the distinct ones).

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

Adding to 1002222211200 its reverse (21122222001), we get a palindrome (1023344433201).

The spelling of 1002222211200 in words is "one trillion, two billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".