122848128 has 144 divisors (see below), whose sum is σ = 383399640. Its totient is φ = 37739520.

The previous prime is 122848127. The next prime is 122848157. The reversal of 122848128 is 821848221.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 122848092 and 122848101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122848127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194373 + ... + 195003.

Almost surely, 2^122848128 is an apocalyptic number.

122848128 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 122848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191699820).

122848128 is an abundant number, since it is smaller than the sum of its proper divisors (260551512).

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

122848128 is a wasteful number, since it uses less digits than its factorization.

122848128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 649 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 122848128 is about 11083.6874730389. The cubic root of 122848128 is about 497.1142138528.

The spelling of 122848128 in words is "one hundred twenty-two million, eight hundred forty-eight thousand, one hundred twenty-eight".