122183424 has 144 divisors (see below), whose sum is σ = 394410240. Its totient is φ = 37002240.

The previous prime is 122183423. The next prime is 122183443. The reversal of 122183424 is 424381221.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (122183423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75229 + ... + 76835.

It is an arithmetic number, because the mean of its divisors is an integer number (2738960).

Almost surely, 2^122183424 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 122183424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197205120).

122183424 is an abundant number, since it is smaller than the sum of its proper divisors (272226816).

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

122183424 is a wasteful number, since it uses less digits than its factorization.

122183424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1623 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 122183424 is about 11053.6611129526. The cubic root of 122183424 is about 496.2160002678.

The spelling of 122183424 in words is "one hundred twenty-two million, one hundred eighty-three thousand, four hundred twenty-four".