122105144 has 32 divisors (see below), whose sum is σ = 262034400. Its totient is φ = 52254720.

The previous prime is 122105141. The next prime is 122105147. The reversal of 122105144 is 441501221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122105141) and next prime (122105147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122105141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55424 + ... + 57584.

It is an arithmetic number, because the mean of its divisors is an integer number (8188575).

Almost surely, 2^122105144 is an apocalyptic number.

122105144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122105144 is an abundant number, since it is smaller than the sum of its proper divisors (139929256).

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

122105144 is a wasteful number, since it uses less digits than its factorization.

122105144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 122105144 is about 11050.1196373614. The cubic root of 122105144 is about 496.1100063841.

Adding to 122105144 its reverse (441501221), we get a palindrome (563606365).

The spelling of 122105144 in words is "one hundred twenty-two million, one hundred five thousand, one hundred forty-four".