222201312310200 has 384 divisors, whose sum is σ = 699320374917120. Its totient is φ = 58357855987200.

The previous prime is 222201312310169. The next prime is 222201312310217. The reversal of 222201312310200 is 2013213102222.

222201312310200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×222201312310200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 13099166919 + ... + 13099183881.

It is an arithmetic number, because the mean of its divisors is an integer number (1821146809680).

Almost surely, 2^{222201312310200} is an apocalyptic number.

222201312310200 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 222201312310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349660187458560).

222201312310200 is an abundant number, since it is smaller than the sum of its proper divisors (477119062606920).

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

222201312310200 is a wasteful number, since it uses less digits than its factorization.

222201312310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18267 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 222201312310200 its reverse (2013213102222), we get a palindrome (224214525412422).

The spelling of 222201312310200 in words is "two hundred twenty-two trillion, two hundred one billion, three hundred twelve million, three hundred ten thousand, two hundred".