123126365340 has 144 divisors (see below), whose sum is σ = 407546246016. Its totient is φ = 29840764800.

The previous prime is 123126365339. The next prime is 123126365353. The reversal of 123126365340 is 43563621321.

123126365340 is a `hidden beast` number, since 1 + 2 + 3 + 12 + 636 + 5 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123126365295 and 123126365304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10945759 + ... + 10957001.

It is an arithmetic number, because the mean of its divisors is an integer number (2830182264).

Almost surely, 2^123126365340 is an apocalyptic number.

123126365340 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 123126365340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203773123008).

123126365340 is an abundant number, since it is smaller than the sum of its proper divisors (284419880676).

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

123126365340 is a wasteful number, since it uses less digits than its factorization.

123126365340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16800 (or 16795 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 123126365340 its reverse (43563621321), we get a palindrome (166689986661).

The spelling of 123126365340 in words is "one hundred twenty-three billion, one hundred twenty-six million, three hundred sixty-five thousand, three hundred forty".