122164224 has 352 divisors, whose sum is σ = 440186880. Its totient is φ = 29196288.

The previous prime is 122164223. The next prime is 122164241. The reversal of 122164224 is 422461221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 122164194 and 122164203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122164223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5311477 + ... + 5311499.

Almost surely, 2^122164224 is an apocalyptic number.

122164224 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 122164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220093440).

122164224 is an abundant number, since it is smaller than the sum of its proper divisors (318022656).

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

122164224 is a wasteful number, since it uses less digits than its factorization.

122164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 122164224 is about 11052.7925883009. The cubic root of 122164224 is about 496.1900069811.

The spelling of 122164224 in words is "one hundred twenty-two million, one hundred sixty-four thousand, two hundred twenty-four".