122111112016 has 10 divisors (see below), whose sum is σ = 236590279562. Its totient is φ = 61055556000.

The previous prime is 122111111987. The next prime is 122111112017. The reversal of 122111112016 is 610211111221.

It can be written as a sum of positive squares in only one way, i.e., 77083969600 + 45027142416 = 277640^2 + 212196^2 .

It is a super-2 number, since 2×122111112016² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111111984 and 122111112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3815972235 + ... + 3815972266.

Almost surely, 2^122111112016 is an apocalyptic number.

122111112016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122111112016 is a deficient number, since it is larger than the sum of its proper divisors (114479167546).

122111112016 is an equidigital number, since it uses as much as digits as its factorization.

122111112016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631944509 (or 7631944503 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 122111112016 its reverse (610211111221), we get a palindrome (732322223237).

The spelling of 122111112016 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twelve thousand, sixteen".