122224000 has 64 divisors (see below), whose sum is σ = 303919200. Its totient is φ = 48883200.

The previous prime is 122223991. The next prime is 122224049. The reversal of 122224000 is 422221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12181 + ... + 19819.

Almost surely, 2^122224000 is an apocalyptic number.

122224000 is a gapful number since it is divisible by the number (10) 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 122224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151959600).

122224000 is an abundant number, since it is smaller than the sum of its proper divisors (181695200).

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

122224000 is an frugal number, since it uses more digits than its factorization.

122224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 122224000 is about 11055.4963705842. The cubic root of 122224000 is about 496.2709237900.

Adding to 122224000 its reverse (422221), we get a palindrome (122646221).

The spelling of 122224000 in words is "one hundred twenty-two million, two hundred twenty-four thousand".