221002212001200 has 480 divisors, whose sum is σ = 821569525185024. Its totient is φ = 49740207390720.

The previous prime is 221002212001111. The next prime is 221002212001213. The reversal of 221002212001200 is 2100212200122.

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 221002212001200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159827187 + ... + 161204013.

Almost surely, 2^{221002212001200} is an apocalyptic number.

221002212001200 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 221002212001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410784762592512).

221002212001200 is an abundant number, since it is smaller than the sum of its proper divisors (600567313183824).

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

221002212001200 is a wasteful number, since it uses less digits than its factorization.

221002212001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377149 (or 1377138 counting only the distinct ones).

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

Adding to 221002212001200 its reverse (2100212200122), we get a palindrome (223102424201322).

The spelling of 221002212001200 in words is "two hundred twenty-one trillion, two billion, two hundred twelve million, one thousand, two hundred".