123050824704 has 440 divisors, whose sum is σ = 378069436800. Its totient is φ = 39852933120.

The previous prime is 123050824681. The next prime is 123050824709. The reversal of 123050824704 is 407428050321.

It is a happy number.

123050824704 is a `hidden beast` number, since 123 + 0 + 508 + 24 + 7 + 0 + 4 = 666.

123050824704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123050824709) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 583179159 + ... + 583179369.

It is an arithmetic number, because the mean of its divisors is an integer number (859248720).

Almost surely, 2^123050824704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123050824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034718400).

123050824704 is an abundant number, since it is smaller than the sum of its proper divisors (255018612096).

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

123050824704 is an equidigital number, since it uses as much as digits as its factorization.

123050824704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 123050824704 in words is "one hundred twenty-three billion, fifty million, eight hundred twenty-four thousand, seven hundred four".