123298416 has 160 divisors (see below), whose sum is σ = 380689920. Its totient is φ = 38071296.

The previous prime is 123298397. The next prime is 123298451. The reversal of 123298416 is 614892321.

123298416 is a `hidden beast` number, since 1 + 232 + 9 + 8 + 416 = 666.

It is a super-3 number, since 3×123298416³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20736) is a multiple of the sum of its prime divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 756351 + ... + 756513.

It is an arithmetic number, because the mean of its divisors is an integer number (2379312).

Almost surely, 2^123298416 is an apocalyptic number.

123298416 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 123298416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190344960).

123298416 is an abundant number, since it is smaller than the sum of its proper divisors (257391504).

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

123298416 is a wasteful number, since it uses less digits than its factorization.

123298416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 123298416 is about 11103.9819884580. The cubic root of 123298416 is about 497.7208480516.

The spelling of 123298416 in words is "one hundred twenty-three million, two hundred ninety-eight thousand, four hundred sixteen".