122212100000 has 144 divisors (see below), whose sum is σ = 303136598016. Its totient is φ = 48494880000.

The previous prime is 122212099957. The next prime is 122212100069. The reversal of 122212100000 is 1212221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12695189 + ... + 12704811.

It is an arithmetic number, because the mean of its divisors is an integer number (2105115264).

Almost surely, 2^122212100000 is an apocalyptic number.

122212100000 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 122212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151568299008).

122212100000 is an abundant number, since it is smaller than the sum of its proper divisors (180924498016).

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

122212100000 is an frugal number, since it uses more digits than its factorization.

122212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122212100000 its reverse (1212221), we get a palindrome (122213312221).

The spelling of 122212100000 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred thousand".