123243968340900 has 243 divisors, whose sum is σ = 424624873975939. Its totient is φ = 29876437536000.

The previous prime is 123243968340893. The next prime is 123243968340947. The reversal of 123243968340900 is 9043869342321.

The square root of 123243968340900 is 11101530.

It is a perfect power (a square), and thus also a powerful number.

123243968340900 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 439 + 6 + 83 + 40 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5048280998244 + 118195687342656 = 2246838^2 + 10871784^2 .

It is a super-2 number, since 2×123243968340900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3663488080 + ... + 3663521720.

Almost surely, 2^{123243968340900} is an apocalyptic number.

123243968340900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123243968340900 is the 11101530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123243968340900

123243968340900 is an abundant number, since it is smaller than the sum of its proper divisors (301380905635039).

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

123243968340900 is an equidigital number, since it uses as much as digits as its factorization.

123243968340900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67324 (or 33662 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 123243968340900 in words is "one hundred twenty-three trillion, two hundred forty-three billion, nine hundred sixty-eight million, three hundred forty thousand, nine hundred".