221200142200 has 96 divisors (see below), whose sum is σ = 521079148800. Its totient is φ = 87313299840.

The previous prime is 221200142197. The next prime is 221200142203. The reversal of 221200142200 is 2241002122.

It is an interprime number because it is at equal distance from previous prime (221200142197) and next prime (221200142203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200142203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56040627 + ... + 56044573.

It is an arithmetic number, because the mean of its divisors is an integer number (5427907800).

Almost surely, 2^221200142200 is an apocalyptic number.

221200142200 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 221200142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260539574400).

221200142200 is an abundant number, since it is smaller than the sum of its proper divisors (299879006600).

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

221200142200 is a wasteful number, since it uses less digits than its factorization.

221200142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7589 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221200142200 its reverse (2241002122), we get a palindrome (223441144322).

The spelling of 221200142200 in words is "two hundred twenty-one billion, two hundred million, one hundred forty-two thousand, two hundred".