11723365123600 has 225 divisors, whose sum is σ = 30542568504083. Its totient is φ = 4324354045440.

The previous prime is 11723365123559. The next prime is 11723365123633. The reversal of 11723365123600 is 632156332711.

The square root of 11723365123600 is 3423940.

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

It can be written as a sum of positive squares in 22 ways, for example, as 101702312464 + 11621662811136 = 318908^2 + 3409056^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 11572916694 + ... + 11572917706.

Almost surely, 2^{11723365123600} is an apocalyptic number.

11723365123600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11723365123600 is the 3423940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11723365123600

11723365123600 is an abundant number, since it is smaller than the sum of its proper divisors (18819203380483).

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

11723365123600 is an frugal number, since it uses more digits than its factorization.

11723365123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 11723365123600 in words is "eleven trillion, seven hundred twenty-three billion, three hundred sixty-five million, one hundred twenty-three thousand, six hundred".