123111040 has 64 divisors (see below), whose sum is σ = 316973160. Its totient is φ = 45453312.

The previous prime is 123111011. The next prime is 123111041. The reversal of 123111040 is 40111321.

It can be written as a sum of positive squares in 4 ways, for example, as 68823616 + 54287424 = 8296^2 + 7368^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 123111040.

It is not an unprimeable number, because it can be changed into a prime (123111041) 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 7 ways as a sum of consecutive naturals, for example, 922 + ... + 15718.

Almost surely, 2^123111040 is an apocalyptic number.

123111040 is a gapful number since it is divisible by the number (10) 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 123111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158486580).

123111040 is an abundant number, since it is smaller than the sum of its proper divisors (193862120).

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

123111040 is a wasteful number, since it uses less digits than its factorization.

123111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14829 (or 14817 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 123111040 is about 11095.5414469056. The cubic root of 123111040 is about 497.4685922447.

Adding to 123111040 its reverse (40111321), we get a palindrome (163222361).

The spelling of 123111040 in words is "one hundred twenty-three million, one hundred eleven thousand, forty".