126723648000 has 320 divisors, whose sum is σ = 424723673088. Its totient is φ = 33520435200.

The previous prime is 126723647989. The next prime is 126723648049. The reversal of 126723648000 is 846327621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 126723648000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24381402 + ... + 24386598.

Almost surely, 2^126723648000 is an apocalyptic number.

126723648000 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 126723648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212361836544).

126723648000 is an abundant number, since it is smaller than the sum of its proper divisors (298000025088).

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

126723648000 is an equidigital number, since it uses as much as digits as its factorization.

126723648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 126723648000 in words is "one hundred twenty-six billion, seven hundred twenty-three million, six hundred forty-eight thousand".