122624144 has 10 divisors (see below), whose sum is σ = 237584310. Its totient is φ = 61312064.

The previous prime is 122624141. The next prime is 122624167. The reversal of 122624144 is 441426221.

It can be written as a sum of positive squares in only one way, i.e., 121440400 + 1183744 = 11020^2 + 1088^2 .

It is a super-3 number, since 3×122624144³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122624141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3831989 + ... + 3832020.

It is an arithmetic number, because the mean of its divisors is an integer number (23758431).

Almost surely, 2^122624144 is an apocalyptic number.

It is an amenable number.

122624144 is a deficient number, since it is larger than the sum of its proper divisors (114960166).

122624144 is an equidigital number, since it uses as much as digits as its factorization.

122624144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664017 (or 7664011 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 122624144 is about 11073.5786446839. The cubic root of 122624144 is about 496.8119073351.

The spelling of 122624144 in words is "one hundred twenty-two million, six hundred twenty-four thousand, one hundred forty-four".