122523120 has 120 divisors (see below), whose sum is σ = 413478000. Its totient is φ = 32514048.

The previous prime is 122523119. The next prime is 122523133. The reversal of 122523120 is 21325221.

122523120 is a `hidden beast` number, since 1 + 22 + 523 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122523093 and 122523102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272656 + ... + 273104.

It is an arithmetic number, because the mean of its divisors is an integer number (3445650).

Almost surely, 2^122523120 is an apocalyptic number.

122523120 is a gapful number since it is divisible by the number (10) 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 122523120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739000).

122523120 is an abundant number, since it is smaller than the sum of its proper divisors (290954880).

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

122523120 is a wasteful number, since it uses less digits than its factorization.

122523120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122523120 is about 11069.0162164485. The cubic root of 122523120 is about 496.6754368875.

Adding to 122523120 its reverse (21325221), we get a palindrome (143848341).

The spelling of 122523120 in words is "one hundred twenty-two million, five hundred twenty-three thousand, one hundred twenty".