122383584 has 72 divisors (see below), whose sum is σ = 349621272. Its totient is φ = 40608000.

The previous prime is 122383577. The next prime is 122383589. The reversal of 122383584 is 485383221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122383589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71442 + ... + 73134.

It is an arithmetic number, because the mean of its divisors is an integer number (4855851).

Almost surely, 2^122383584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122383584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174810636).

122383584 is an abundant number, since it is smaller than the sum of its proper divisors (227237688).

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

122383584 is a wasteful number, since it uses less digits than its factorization.

122383584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1949 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 122383584 is about 11062.7114217085. The cubic root of 122383584 is about 496.4868182564.

The spelling of 122383584 in words is "one hundred twenty-two million, three hundred eighty-three thousand, five hundred eighty-four".