123262560 has 120 divisors (see below), whose sum is σ = 435059856. Its totient is φ = 32866560.

The previous prime is 123262537. The next prime is 123262571. The reversal of 123262560 is 65262321.

123262560 is a `hidden beast` number, since 1 + 2 + 32 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 8205 + ... + 17715.

Almost surely, 2^123262560 is an apocalyptic number.

123262560 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 123262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217529928).

123262560 is an abundant number, since it is smaller than the sum of its proper divisors (311797296).

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

123262560 is an equidigital number, since it uses as much as digits as its factorization.

123262560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 123262560 is about 11102.3673151270. The cubic root of 123262560 is about 497.6725965290.

The spelling of 123262560 in words is "one hundred twenty-three million, two hundred sixty-two thousand, five hundred sixty".