123068299680 has 144 divisors (see below), whose sum is σ = 420481250280. Its totient is φ = 32778307584.

The previous prime is 123068299663. The next prime is 123068299691. The reversal of 123068299680 is 86992860321.

123068299680 is a `hidden beast` number, since 1 + 230 + 68 + 299 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102356484624 + 20711815056 = 319932^2 + 143916^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×123068299680² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142214 + ... + 1245306.

Almost surely, 2^123068299680 is an apocalyptic number.

123068299680 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 123068299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210240625140).

123068299680 is an abundant number, since it is smaller than the sum of its proper divisors (297412950600).

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

123068299680 is a wasteful number, since it uses less digits than its factorization.

123068299680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103943 (or 103932 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 123068299680 in words is "one hundred twenty-three billion, sixty-eight million, two hundred ninety-nine thousand, six hundred eighty".