123771648000 has 2304 divisors, whose sum is σ = 587264670720. Its totient is φ = 22708224000.

The previous prime is 123771647999. The next prime is 123771648019. The reversal of 123771648000 is 846177321.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 123771648000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5381375989 + ... + 5381376011.

It is an arithmetic number, because the mean of its divisors is an integer number (254889180).

Almost surely, 2^123771648000 is an apocalyptic number.

123771648000 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 123771648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293632335360).

123771648000 is an abundant number, since it is smaller than the sum of its proper divisors (463493022720).

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

123771648000 is a wasteful number, since it uses less digits than its factorization.

123771648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 123771648000 in words is "one hundred twenty-three billion, seven hundred seventy-one million, six hundred forty-eight thousand".