123320505 has 64 divisors (see below), whose sum is σ = 251136000. Its totient is φ = 51226560.

The previous prime is 123320473. The next prime is 123320521. The reversal of 123320505 is 505023321.

It is not a de Polignac number, because 123320505 - 2⁵ = 123320473 is a prime.

It is a super-3 number, since 3×123320505³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55506 + ... + 57684.

It is an arithmetic number, because the mean of its divisors is an integer number (3924000).

Almost surely, 2^123320505 is an apocalyptic number.

123320505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123320505 is an abundant number, since it is smaller than the sum of its proper divisors (127815495).

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

123320505 is a wasteful number, since it uses less digits than its factorization.

123320505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 123320505 is about 11104.9765870982. The cubic root of 123320505 is about 497.7505686263.

Adding to 123320505 its reverse (505023321), we get a palindrome (628343826).

The spelling of 123320505 in words is "one hundred twenty-three million, three hundred twenty thousand, five hundred five".