123100560 has 300 divisors, whose sum is σ = 472941084. Its totient is φ = 29652480.

The previous prime is 123100559. The next prime is 123100583. The reversal of 123100560 is 65001321.

123100560 is a `hidden beast` number, since 1 + 2 + 3 + 100 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 82955664 = 6336^2 + 9108^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 784002 + ... + 784158.

Almost surely, 2^123100560 is an apocalyptic number.

123100560 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 123100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236470542).

123100560 is an abundant number, since it is smaller than the sum of its proper divisors (349840524).

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

123100560 is a wasteful number, since it uses less digits than its factorization.

123100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 123100560 is about 11095.0691750885. The cubic root of 123100560 is about 497.4544759401.

Adding to 123100560 its reverse (65001321), we get a palindrome (188101881).

The spelling of 123100560 in words is "one hundred twenty-three million, one hundred thousand, five hundred sixty".