122222200010000 has 100 divisors (see below), whose sum is σ = 295981523541132. Its totient is φ = 48877421568000.

The previous prime is 122222200009999. The next prime is 122222200010023. The reversal of 122222200010000 is 10002222221.

It can be written as a sum of positive squares in 10 ways, for example, as 119846705292304 + 2375494717696 = 10947452^2 + 1541264^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-5 number, since 5×122222200010000⁵ (a number of 72 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41299832 + ... + 44160168.

Almost surely, 2^{122222200010000} is an apocalyptic number.

122222200010000 is a gapful number since it is divisible by the number (10) 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 122222200010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147990761770566).

122222200010000 is an abundant number, since it is smaller than the sum of its proper divisors (173759323531132).

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

122222200010000 is an equidigital number, since it uses as much as digits as its factorization.

122222200010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864638 (or 2864617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122222200010000 its reverse (10002222221), we get a palindrome (122232202232221).

The spelling of 122222200010000 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred million, ten thousand".