222120003210 has 384 divisors, whose sum is σ = 661129185024. Its totient is φ = 47551795200.

The previous prime is 222120003199. The next prime is 222120003223. The reversal of 222120003210 is 12300021222.

It is a happy number.

222120003210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 222120003210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170729560 + ... + 170730860.

It is an arithmetic number, because the mean of its divisors is an integer number (1721690586).

Almost surely, 2^222120003210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120003210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330564592512).

222120003210 is an abundant number, since it is smaller than the sum of its proper divisors (439009181814).

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

222120003210 is a wasteful number, since it uses less digits than its factorization.

222120003210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 222120003210 its reverse (12300021222), we get a palindrome (234420024432).

The spelling of 222120003210 in words is "two hundred twenty-two billion, one hundred twenty million, three thousand, two hundred ten".