122384000 has 64 divisors (see below), whose sum is σ = 304317000. Its totient is φ = 48947200.

The previous prime is 122383993. The next prime is 122384011. The reversal of 122384000 is 483221.

It can be written as a sum of positive squares in 4 ways, for example, as 9684544 + 112699456 = 3112^2 + 10616^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 12176 + ... + 19824.

Almost surely, 2^122384000 is an apocalyptic number.

122384000 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 122384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152158500).

122384000 is an abundant number, since it is smaller than the sum of its proper divisors (181933000).

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

122384000 is an frugal number, since it uses more digits than its factorization.

122384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 122384000 is about 11062.7302235931. The cubic root of 122384000 is about 496.4873808000.

The spelling of 122384000 in words is "one hundred twenty-two million, three hundred eighty-four thousand".