122024000 has 112 divisors (see below), whose sum is σ = 345521280. Its totient is φ = 41817600.

The previous prime is 122023999. The next prime is 122024003. The reversal of 122024000 is 420221.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (122024003) 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, 54911 + ... + 57089.

Almost surely, 2^122024000 is an apocalyptic number.

122024000 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 122024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172760640).

122024000 is an abundant number, since it is smaller than the sum of its proper divisors (223497280).

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

122024000 is an equidigital number, since it uses as much as digits as its factorization.

122024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 122024000 is about 11046.4473927141. The cubic root of 122024000 is about 496.0000867152. Note that the first 4 decimals are identical.

Adding to 122024000 its reverse (420221), we get a palindrome (122444221).

The spelling of 122024000 in words is "one hundred twenty-two million, twenty-four thousand".