123411456 has 132 divisors (see below), whose sum is σ = 407467632. Its totient is φ = 35241984.

The previous prime is 123411437. The next prime is 123411461. The reversal of 123411456 is 654114321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63556 + ... + 65468.

It is an arithmetic number, because the mean of its divisors is an integer number (3086876).

Almost surely, 2^123411456 is an apocalyptic number.

123411456 is a gapful number since it is divisible by the number (16) 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 123411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203733816).

123411456 is an abundant number, since it is smaller than the sum of its proper divisors (284056176).

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

123411456 is a wasteful number, since it uses less digits than its factorization.

123411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1925 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 123411456 is about 11109.0708882426. The cubic root of 123411456 is about 497.8729051001.

Adding to 123411456 its reverse (654114321), we get a palindrome (777525777).

The spelling of 123411456 in words is "one hundred twenty-three million, four hundred eleven thousand, four hundred fifty-six".