123216768 has 128 divisors (see below), whose sum is σ = 368301600. Its totient is φ = 40550400.

The previous prime is 123216749. The next prime is 123216781. The reversal of 123216768 is 867612321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 348880 + ... + 349232.

Almost surely, 2^123216768 is an apocalyptic number.

123216768 is a gapful number since it is divisible by the number (18) 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 123216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184150800).

123216768 is an abundant number, since it is smaller than the sum of its proper divisors (245084832).

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

123216768 is a wasteful number, since it uses less digits than its factorization.

123216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 123216768 is about 11100.3048606784. The cubic root of 123216768 is about 497.6109604944.

The spelling of 123216768 in words is "one hundred twenty-three million, two hundred sixteen thousand, seven hundred sixty-eight".