122736384 has 108 divisors (see below), whose sum is σ = 367171896. Its totient is φ = 40891392.

The previous prime is 122736373. The next prime is 122736391. The reversal of 122736384 is 483637221.

It is a happy number.

122736384 is a `hidden beast` number, since 1 + 2 + 273 + 6 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 61222 + ... + 63194.

Almost surely, 2^122736384 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 122736384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183585948).

122736384 is an abundant number, since it is smaller than the sum of its proper divisors (244435512).

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

122736384 is an frugal number, since it uses more digits than its factorization.

122736384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1978 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 122736384 is about 11078.6454045610. The cubic root of 122736384 is about 496.9634412879.

The spelling of 122736384 in words is "one hundred twenty-two million, seven hundred thirty-six thousand, three hundred eighty-four".