122431248 has 120 divisors (see below), whose sum is σ = 356461560. Its totient is φ = 39198720.

The previous prime is 122431241. The next prime is 122431249. The reversal of 122431248 is 842134221.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 116899344 = 2352^2 + 10812^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122431241) 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 23 ways as a sum of consecutive naturals, for example, 525340 + ... + 525572.

It is an arithmetic number, because the mean of its divisors is an integer number (2970513).

Almost surely, 2^122431248 is an apocalyptic number.

122431248 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 122431248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178230780).

122431248 is an abundant number, since it is smaller than the sum of its proper divisors (234030312).

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

122431248 is a wasteful number, since it uses less digits than its factorization.

122431248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 368 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 122431248 is about 11064.8654759107. The cubic root of 122431248 is about 496.5512644712.

Adding to 122431248 its reverse (842134221), we get a palindrome (964565469).

The spelling of 122431248 in words is "one hundred twenty-two million, four hundred thirty-one thousand, two hundred forty-eight".