221221002000 has 640 divisors, whose sum is σ = 755771627520. Its totient is φ = 55609804800.

The previous prime is 221221001927. The next prime is 221221002011. The reversal of 221221002000 is 200122122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1591517931 + ... + 1591518069.

It is an arithmetic number, because the mean of its divisors is an integer number (1180893168).

Almost surely, 2^221221002000 is an apocalyptic number.

221221002000 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 221221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377885813760).

221221002000 is an abundant number, since it is smaller than the sum of its proper divisors (534550625520).

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

221221002000 is a wasteful number, since it uses less digits than its factorization.

221221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221221002000 its reverse (200122122), we get a palindrome (221421124122).

The spelling of 221221002000 in words is "two hundred twenty-one billion, two hundred twenty-one million, two thousand".