123541416 has 64 divisors (see below), whose sum is σ = 345451200. Its totient is φ = 40906944.

The previous prime is 123541403. The next prime is 123541459. The reversal of 123541416 is 614145321.

It is a happy number.

123541416 is a `hidden beast` number, since 1 + 235 + 414 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123541416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32091 + ... + 35733.

It is an arithmetic number, because the mean of its divisors is an integer number (5397675).

Almost surely, 2^123541416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123541416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172725600).

123541416 is an abundant number, since it is smaller than the sum of its proper divisors (221909784).

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

123541416 is a wasteful number, since it uses less digits than its factorization.

123541416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3805 counting only the distinct ones).

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

The square root of 123541416 is about 11114.9186231839. The cubic root of 123541416 is about 498.0476075840.

Adding to 123541416 its reverse (614145321), we get a palindrome (737686737).

The spelling of 123541416 in words is "one hundred twenty-three million, five hundred forty-one thousand, four hundred sixteen".