222113101023200 has 144 divisors (see below), whose sum is σ = 549513828864000. Its totient is φ = 87654078819840.

The previous prime is 222113101023197. The next prime is 222113101023217. The reversal of 222113101023200 is 2320101311222.

It is a super-3 number, since 3×222113101023200³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82028561 + ... + 84693039.

It is an arithmetic number, because the mean of its divisors is an integer number (3816068256000).

Almost surely, 2^{222113101023200} is an apocalyptic number.

222113101023200 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 222113101023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274756914432000).

222113101023200 is an abundant number, since it is smaller than the sum of its proper divisors (327400727840800).

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

222113101023200 is a wasteful number, since it uses less digits than its factorization.

222113101023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665897 (or 2665884 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 222113101023200 its reverse (2320101311222), we get a palindrome (224433202334422).

The spelling of 222113101023200 in words is "two hundred twenty-two trillion, one hundred thirteen billion, one hundred one million, twenty-three thousand, two hundred".