122478048 has 288 divisors, whose sum is σ = 455051520. Its totient is φ = 31691520.

The previous prime is 122478023. The next prime is 122478113. The reversal of 122478048 is 840874221.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465565 + ... + 465827.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 2^122478048 is an apocalyptic number.

122478048 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 122478048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

122478048 is an abundant number, since it is smaller than the sum of its proper divisors (332573472).

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

122478048 is a wasteful number, since it uses less digits than its factorization.

122478048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 122478048 is about 11066.9800758834. The cubic root of 122478048 is about 496.6145262042.

The spelling of 122478048 in words is "one hundred twenty-two million, four hundred seventy-eight thousand, forty-eight".