122241504 has 192 divisors, whose sum is σ = 418037760. Its totient is φ = 30328320.

The previous prime is 122241503. The next prime is 122241517. The reversal of 122241504 is 405142221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122241503) 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, 169657 + ... + 170375.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^122241504 is an apocalyptic number.

122241504 is a gapful number since it is divisible by the number (14) 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 122241504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

122241504 is an abundant number, since it is smaller than the sum of its proper divisors (295796256).

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

122241504 is a wasteful number, since it uses less digits than its factorization.

122241504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 122241504 is about 11056.2879846719. The cubic root of 122241504 is about 496.2946133862.

Adding to 122241504 its reverse (405142221), we get a palindrome (527383725).

The spelling of 122241504 in words is "one hundred twenty-two million, two hundred forty-one thousand, five hundred four".