122000002211112 has 128 divisors (see below), whose sum is σ = 312208370956800. Its totient is φ = 39709620062208.

The previous prime is 122000002211111. The next prime is 122000002211119. The reversal of 122000002211112 is 211112200000221.

It is a super-2 number, since 2×122000002211112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122000002211091 and 122000002211100.

It is not an unprimeable number, because it can be changed into a prime (122000002211111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252145214 + ... + 1252242642.

It is an arithmetic number, because the mean of its divisors is an integer number (2439127898100).

Almost surely, 2^{122000002211112} is an apocalyptic number.

122000002211112 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 122000002211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156104185478400).

122000002211112 is an abundant number, since it is smaller than the sum of its proper divisors (190208368745688).

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

122000002211112 is a wasteful number, since it uses less digits than its factorization.

122000002211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100035 (or 100031 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122000002211112 its reverse (211112200000221), we get a palindrome (333112202211333).

The spelling of 122000002211112 in words is "one hundred twenty-two trillion, two million, two hundred eleven thousand, one hundred twelve".