222122112010000 has 50 divisors (see below), whose sum is σ = 537779845411622. Its totient is φ = 88848844800000.

The previous prime is 222122112009947. The next prime is 222122112010013. The reversal of 222122112010000 is 10211221222.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 160812021844224 + 61310090165776 = 12681168^2 + 7830076^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 9 ways as a sum of consecutive naturals, for example, 11106095601 + ... + 11106115600.

Almost surely, 2^{222122112010000} is an apocalyptic number.

222122112010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122112010000 is an abundant number, since it is smaller than the sum of its proper divisors (315657733401622).

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

222122112010000 is an equidigital number, since it uses as much as digits as its factorization.

222122112010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22212211229 (or 22212211208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222122112010000 its reverse (10211221222), we get a palindrome (222132323231222).

The spelling of 222122112010000 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, one hundred twelve million, ten thousand".