122033520 has 240 divisors, whose sum is σ = 489388320. Its totient is φ = 27869184.

The previous prime is 122033503. The next prime is 122033543. The reversal of 122033520 is 25330221.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 122033493 and 122033502.

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, 105264 + ... + 106416.

It is an arithmetic number, because the mean of its divisors is an integer number (2039118).

Almost surely, 2^122033520 is an apocalyptic number.

122033520 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 122033520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244694160).

122033520 is an abundant number, since it is smaller than the sum of its proper divisors (367354800).

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

122033520 is a wasteful number, since it uses less digits than its factorization.

122033520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 122033520 is about 11046.8782920787. The cubic root of 122033520 is about 496.0129852653.

Adding to 122033520 its reverse (25330221), we get a palindrome (147363741).

The spelling of 122033520 in words is "one hundred twenty-two million, thirty-three thousand, five hundred twenty".