123509084160 has 416 divisors, whose sum is σ = 492711846912. Its totient is φ = 25663242240.

The previous prime is 123509084159. The next prime is 123509084219. The reversal of 123509084160 is 61480905321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4717827 + ... + 4743933.

Almost surely, 2^123509084160 is an apocalyptic number.

123509084160 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 123509084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246355923456).

123509084160 is an abundant number, since it is smaller than the sum of its proper divisors (369202762752).

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

123509084160 is a wasteful number, since it uses less digits than its factorization.

123509084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26157 (or 26135 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

Adding to 123509084160 its reverse (61480905321), we get a palindrome (184989989481).

The spelling of 123509084160 in words is "one hundred twenty-three billion, five hundred nine million, eighty-four thousand, one hundred sixty".