123731712 has 288 divisors, whose sum is σ = 422372160. Its totient is φ = 35831808.

The previous prime is 123731701. The next prime is 123731731. The reversal of 123731712 is 217137321.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7278328 + ... + 7278344.

It is an arithmetic number, because the mean of its divisors is an integer number (1466570).

Almost surely, 2^123731712 is an apocalyptic number.

123731712 is a gapful number since it is divisible by the number (12) 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 123731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211186080).

123731712 is an abundant number, since it is smaller than the sum of its proper divisors (298640448).

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

123731712 is an frugal number, since it uses more digits than its factorization.

123731712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 123731712 is about 11123.4757158003. The cubic root of 123731712 is about 498.3031975701.

The spelling of 123731712 in words is "one hundred twenty-three million, seven hundred thirty-one thousand, seven hundred twelve".