122221211102112 has 192 divisors, whose sum is σ = 329387856134400. Its totient is φ = 39658246840320.

The previous prime is 122221211102099. The next prime is 122221211102147. The reversal of 122221211102112 is 211201112122221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12575487589 + ... + 12575497307.

It is an arithmetic number, because the mean of its divisors is an integer number (1715561750700).

Almost surely, 2^{122221211102112} is an apocalyptic number.

122221211102112 is a gapful number since it is divisible by the number (12) 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 122221211102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164693928067200).

122221211102112 is an abundant number, since it is smaller than the sum of its proper divisors (207166645032288).

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

122221211102112 is a wasteful number, since it uses less digits than its factorization.

122221211102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16559 (or 16551 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122221211102112 its reverse (211201112122221), we get a palindrome (333422323224333).

The spelling of 122221211102112 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred eleven million, one hundred two thousand, one hundred twelve".