124116821168328 has 192 divisors, whose sum is σ = 342115416901440. Its totient is φ = 40641627197952.

The previous prime is 124116821168309. The next prime is 124116821168371. The reversal of 124116821168328 is 823861128611421.

124116821168328 is a `hidden beast` number, since 1 + 2 + 41 + 1 + 6 + 8 + 211 + 68 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 2546849850 + ... + 2546898582.

It is an arithmetic number, because the mean of its divisors is an integer number (1781851129695).

Almost surely, 2^{124116821168328} is an apocalyptic number.

124116821168328 is a gapful number since it is divisible by the number (18) 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 124116821168328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171057708450720).

124116821168328 is an abundant number, since it is smaller than the sum of its proper divisors (217998595733112).

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

124116821168328 is a wasteful number, since it uses less digits than its factorization.

124116821168328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50268 (or 50261 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

Adding to 124116821168328 its reverse (823861128611421), we get a palindrome (947977949779749).

The spelling of 124116821168328 in words is "one hundred twenty-four trillion, one hundred sixteen billion, eight hundred twenty-one million, one hundred sixty-eight thousand, three hundred twenty-eight".