123932161600 has 189 divisors, whose sum is σ = 330701232297. Its totient is φ = 45691975680.

The previous prime is 123932161589. The next prime is 123932161603. The reversal of 123932161600 is 6161239321.

The square root of 123932161600 is 352040.

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

It can be written as a sum of positive squares in 13 ways, for example, as 40600638016 + 83331523584 = 201496^2 + 288672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123932161603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183060462 + ... + 183061138.

Almost surely, 2^123932161600 is an apocalyptic number.

123932161600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123932161600 is the 352040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123932161600

123932161600 is an abundant number, since it is smaller than the sum of its proper divisors (206769070697).

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

123932161600 is an frugal number, since it uses more digits than its factorization.

123932161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 123932161600 in words is "one hundred twenty-three billion, nine hundred thirty-two million, one hundred sixty-one thousand, six hundred".