123821568 has 240 divisors, whose sum is σ = 404371440. Its totient is φ = 37380096.

The previous prime is 123821543. The next prime is 123821569. The reversal of 123821568 is 865128321.

It is a happy number.

123821568 is a `hidden beast` number, since 12 + 3 + 82 + 1 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123821569) 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 23 ways as a sum of consecutive naturals, for example, 2336230 + ... + 2336282.

It is an arithmetic number, because the mean of its divisors is an integer number (1684881).

Almost surely, 2^123821568 is an apocalyptic number.

123821568 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 123821568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202185720).

123821568 is an abundant number, since it is smaller than the sum of its proper divisors (280549872).

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

123821568 is an equidigital number, since it uses as much as digits as its factorization.

123821568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 123821568 is about 11127.5140080793. The cubic root of 123821568 is about 498.4237937020.

Adding to 123821568 its reverse (865128321), we get a palindrome (988949889).

The spelling of 123821568 in words is "one hundred twenty-three million, eight hundred twenty-one thousand, five hundred sixty-eight".