122111444 has 48 divisors (see below), whose sum is σ = 265644288. Its totient is φ = 47824128.

The previous prime is 122111441. The next prime is 122111467. The reversal of 122111444 is 444111221.

It is a super-2 number, since 2×122111444² = 29822409511530272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111441) 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, 35864 + ... + 39120.

It is an arithmetic number, because the mean of its divisors is an integer number (5534256).

Almost surely, 2^122111444 is an apocalyptic number.

122111444 is a gapful number since it is divisible by the number (14) 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 122111444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132822144).

122111444 is an abundant number, since it is smaller than the sum of its proper divisors (143532844).

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

122111444 is a wasteful number, since it uses less digits than its factorization.

122111444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3382 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 122111444 is about 11050.4046984715. The cubic root of 122111444 is about 496.1185384824.

Adding to 122111444 its reverse (444111221), we get a palindrome (566222665).

The spelling of 122111444 in words is "one hundred twenty-two million, one hundred eleven thousand, four hundred forty-four".