122221002112 has 64 divisors (see below), whose sum is σ = 265899997440. Its totient is φ = 55496931840.

The previous prime is 122221002097. The next prime is 122221002133. The reversal of 122221002112 is 211200122221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1316653 + ... + 1406419.

It is an arithmetic number, because the mean of its divisors is an integer number (4154687460).

Almost surely, 2^122221002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132949998720).

122221002112 is an abundant number, since it is smaller than the sum of its proper divisors (143678995328).

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

122221002112 is an equidigital number, since it uses as much as digits as its factorization.

122221002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90759 (or 90747 counting only the distinct ones).

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

Adding to 122221002112 its reverse (211200122221), we get a palindrome (333421124333).

The spelling of 122221002112 in words is "one hundred twenty-two billion, two hundred twenty-one million, two thousand, one hundred twelve".