122548608 has 288 divisors, whose sum is σ = 444422160. Its totient is φ = 32126976.

The previous prime is 122548607. The next prime is 122548619. The reversal of 122548608 is 806845221.

122548608 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 48 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×122548608² = 30036322645475328, which contains 22 as substring.

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 (122548603) 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 35 ways as a sum of consecutive naturals, for example, 733741 + ... + 733907.

Almost surely, 2^122548608 is an apocalyptic number.

122548608 is a gapful number since it is divisible by the number (18) 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 122548608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222211080).

122548608 is an abundant number, since it is smaller than the sum of its proper divisors (321873552).

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

122548608 is a wasteful number, since it uses less digits than its factorization.

122548608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 122548608 is about 11070.1674784079. The cubic root of 122548608 is about 496.7098749751.

The spelling of 122548608 in words is "one hundred twenty-two million, five hundred forty-eight thousand, six hundred eight".