123292416 has 144 divisors (see below), whose sum is σ = 361591776. Its totient is φ = 37060608.

The previous prime is 123292373. The next prime is 123292441. The reversal of 123292416 is 614292321.

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 15 ways as a sum of consecutive naturals, for example, 529036 + ... + 529268.

It is an arithmetic number, because the mean of its divisors is an integer number (2511054).

Almost surely, 2^123292416 is an apocalyptic number.

123292416 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 123292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180795888).

123292416 is an abundant number, since it is smaller than the sum of its proper divisors (238299360).

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

123292416 is a wasteful number, since it uses less digits than its factorization.

123292416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 123292416 is about 11103.7118118222. The cubic root of 123292416 is about 497.7127744861.

The spelling of 123292416 in words is "one hundred twenty-three million, two hundred ninety-two thousand, four hundred sixteen".