122111416 has 64 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 49555968.

The previous prime is 122111377. The next prime is 122111419. The reversal of 122111416 is 614111221.

It is a super-2 number, since 2×122111416² = 29822395835050112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111393 and 122111402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145125 + ... + 145963.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^122111416 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 122111416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

122111416 is an abundant number, since it is smaller than the sum of its proper divisors (153677384).

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

122111416 is a wasteful number, since it uses less digits than its factorization.

122111416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 984 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

The square root of 122111416 is about 11050.4034315495. The cubic root of 122111416 is about 496.1185005627.

Adding to 122111416 its reverse (614111221), we get a palindrome (736222637).

The spelling of 122111416 in words is "one hundred twenty-two million, one hundred eleven thousand, four hundred sixteen".