123265560240 has 280 divisors, whose sum is σ = 444515142960. Its totient is φ = 31736904192.

The previous prime is 123265560233. The next prime is 123265560251. The reversal of 123265560240 is 42065562321.

123265560240 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 6 + 5 + 5 + 602 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123265560195 and 123265560204.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1654839 + ... + 1727721.

It is an arithmetic number, because the mean of its divisors is an integer number (1587554082).

Almost surely, 2^123265560240 is an apocalyptic number.

123265560240 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 123265560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222257571480).

123265560240 is an abundant number, since it is smaller than the sum of its proper divisors (321249582720).

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

123265560240 is an equidigital number, since it uses as much as digits as its factorization.

123265560240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72943 (or 72922 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 123265560240 in words is "one hundred twenty-three billion, two hundred sixty-five million, five hundred sixty thousand, two hundred forty".