122600144 has 20 divisors (see below), whose sum is σ = 237873540. Its totient is φ = 61213440.

The previous prime is 122600131. The next prime is 122600207. The reversal of 122600144 is 441006221.

It can be written as a sum of positive squares in 2 ways, for example, as 9985600 + 112614544 = 3160^2 + 10612^2 .

It is a super-3 number, since 3×122600144³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7142 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (11893677).

Almost surely, 2^122600144 is an apocalyptic number.

It is an amenable number.

122600144 is a deficient number, since it is larger than the sum of its proper divisors (115273396).

122600144 is a wasteful number, since it uses less digits than its factorization.

122600144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10838 (or 10832 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 122600144 is about 11072.4949311345. The cubic root of 122600144 is about 496.7794932080.

Adding to 122600144 its reverse (441006221), we get a palindrome (563606365).

The spelling of 122600144 in words is "one hundred twenty-two million, six hundred thousand, one hundred forty-four".