123506655120 has 560 divisors, whose sum is σ = 458445121920. Its totient is φ = 30822322176.

The previous prime is 123506655089. The next prime is 123506655127. The reversal of 123506655120 is 21556605321.

123506655120 is a `hidden beast` number, since 1 + 23 + 5 + 0 + 66 + 551 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (123506655127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 344029501 + ... + 344029859.

Almost surely, 2^123506655120 is an apocalyptic number.

123506655120 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 123506655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229222560960).

123506655120 is an abundant number, since it is smaller than the sum of its proper divisors (334938466800).

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

123506655120 is a wasteful number, since it uses less digits than its factorization.

123506655120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 123506655120 in words is "one hundred twenty-three billion, five hundred six million, six hundred fifty-five thousand, one hundred twenty".