123081809760 has 1152 divisors, whose sum is σ = 547373998080. Its totient is φ = 24485068800.

The previous prime is 123081809749. The next prime is 123081809813. The reversal of 123081809760 is 67908180321.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 166551471 + ... + 166552209.

It is an arithmetic number, because the mean of its divisors is an integer number (475151040).

Almost surely, 2^123081809760 is an apocalyptic number.

123081809760 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 123081809760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273686999040).

123081809760 is an abundant number, since it is smaller than the sum of its proper divisors (424292188320).

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

123081809760 is a wasteful number, since it uses less digits than its factorization.

123081809760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 123081809760 in words is "one hundred twenty-three billion, eighty-one million, eight hundred nine thousand, seven hundred sixty".