122473728 has 288 divisors, whose sum is σ = 412070400. Its totient is φ = 35610624.

The previous prime is 122473723. The next prime is 122473739. The reversal of 122473728 is 827374221.

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 junction number, because it is equal to n+sod(n) for n = 122473692 and 122473701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122473723) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2605801 + ... + 2605847.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 2^122473728 is an apocalyptic number.

122473728 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 122473728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206035200).

122473728 is an abundant number, since it is smaller than the sum of its proper divisors (289596672).

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

122473728 is a wasteful number, since it uses less digits than its factorization.

122473728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 122473728 is about 11066.7848989668. The cubic root of 122473728 is about 496.6086873348.

It can be divided in two parts, 122473 and 728, that added together give a square (123201 = 351²).

The spelling of 122473728 in words is "one hundred twenty-two million, four hundred seventy-three thousand, seven hundred twenty-eight".