122484096 has 256 divisors, whose sum is σ = 424972800. Its totient is φ = 34007040.

The previous prime is 122484091. The next prime is 122484101. The reversal of 122484096 is 690484221.

122484096 is a `hidden beast` number, since 1 + 2 + 248 + 409 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (122484091) and next prime (122484101).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122484096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122484091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1475671 + ... + 1475753.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^122484096 is an apocalyptic number.

122484096 is a gapful number since it is divisible by the number (16) 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 122484096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

122484096 is an abundant number, since it is smaller than the sum of its proper divisors (302488704).

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

122484096 is an equidigital number, since it uses as much as digits as its factorization.

122484096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 122484096 is about 11067.2533177840. The cubic root of 122484096 is about 496.6227003907.

The spelling of 122484096 in words is "one hundred twenty-two million, four hundred eighty-four thousand, ninety-six".