122024224 has 48 divisors (see below), whose sum is σ = 281994048. Its totient is φ = 50879232.

The previous prime is 122024207. The next prime is 122024233. The reversal of 122024224 is 422420221.

It is a super-3 number, since 3×122024224³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927 + ... + 15649.

It is an arithmetic number, because the mean of its divisors is an integer number (5874876).

Almost surely, 2^122024224 is an apocalyptic number.

122024224 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 122024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140997024).

122024224 is an abundant number, since it is smaller than the sum of its proper divisors (159969824).

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

122024224 is a wasteful number, since it uses less digits than its factorization.

122024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14777 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 122024224 is about 11046.4575317158. The cubic root of 122024224 is about 496.0003902182. Note that the first 3 decimals are identical.

Adding to 122024224 its reverse (422420221), we get a palindrome (544444445).

The spelling of 122024224 in words is "one hundred twenty-two million, twenty-four thousand, two hundred twenty-four".