122814384 has 240 divisors, whose sum is σ = 415259136. Its totient is φ = 30912000.

The previous prime is 122814383. The next prime is 122814401. The reversal of 122814384 is 483418221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122814383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1215934 + ... + 1216034.

Almost surely, 2^122814384 is an apocalyptic number.

122814384 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 122814384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207629568).

122814384 is an abundant number, since it is smaller than the sum of its proper divisors (292444752).

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

122814384 is a wasteful number, since it uses less digits than its factorization.

122814384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 122814384 is about 11082.1651314172. The cubic root of 122814384 is about 497.0686938045.

The spelling of 122814384 in words is "one hundred twenty-two million, eight hundred fourteen thousand, three hundred eighty-four".