123743805120 has 1344 divisors, whose sum is σ = 517635256320. Its totient is φ = 26821656576.

The previous prime is 123743805091. The next prime is 123743805161. The reversal of 123743805120 is 21508347321.

123743805120 is a `hidden beast` number, since 1 + 23 + 7 + 43 + 80 + 512 + 0 = 666.

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

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, 1156484107 + ... + 1156484213.

It is an arithmetic number, because the mean of its divisors is an integer number (385145280).

Almost surely, 2^123743805120 is an apocalyptic number.

123743805120 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 123743805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258817628160).

123743805120 is an abundant number, since it is smaller than the sum of its proper divisors (393891451200).

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

123743805120 is a wasteful number, since it uses less digits than its factorization.

123743805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 123743805120 in words is "one hundred twenty-three billion, seven hundred forty-three million, eight hundred five thousand, one hundred twenty".