122441325345 has 24 divisors (see below), whose sum is σ = 212240237352. Its totient is φ = 65299392000.

The previous prime is 122441325329. The next prime is 122441325361. The reversal of 122441325345 is 543523144221.

It is a happy number.

122441325345 is a `hidden beast` number, since 122 + 441 + 3 + 2 + 53 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (122441325329) and next prime (122441325361).

It can be written as a sum of positive squares in 4 ways, for example, as 6617497104 + 115823828241 = 81348^2 + 340329^2 .

It is not a de Polignac number, because 122441325345 - 2⁴ = 122441325329 is a prime.

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, 1637475 + ... + 1710615.

It is an arithmetic number, because the mean of its divisors is an integer number (8843343223).

Almost surely, 2^122441325345 is an apocalyptic number.

122441325345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122441325345 is a deficient number, since it is larger than the sum of its proper divisors (89798912007).

122441325345 is a wasteful number, since it uses less digits than its factorization.

122441325345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110353 (or 110350 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 122441325345 its reverse (543523144221), we get a palindrome (665964469566).

The spelling of 122441325345 in words is "one hundred twenty-two billion, four hundred forty-one million, three hundred twenty-five thousand, three hundred forty-five".