122312520 has 192 divisors, whose sum is σ = 441080640. Its totient is φ = 29145600.

The previous prime is 122312513. The next prime is 122312521. The reversal of 122312520 is 25213221.

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 = 122312493 and 122312502.

It is not an unprimeable number, because it can be changed into a prime (122312521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265090 + ... + 265550.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295).

Almost surely, 2^122312520 is an apocalyptic number.

122312520 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 122312520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540320).

122312520 is an abundant number, since it is smaller than the sum of its proper divisors (318768120).

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

122312520 is a wasteful number, since it uses less digits than its factorization.

122312520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 549 counting only the distinct ones).

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

The square root of 122312520 is about 11059.4990844975. The cubic root of 122312520 is about 496.3907019599.

Adding to 122312520 its reverse (25213221), we get a palindrome (147525741).

The spelling of 122312520 in words is "one hundred twenty-two million, three hundred twelve thousand, five hundred twenty".