123223968 has 144 divisors (see below), whose sum is σ = 421686720. Its totient is φ = 33343488.

The previous prime is 123223951. The next prime is 123223981. The reversal of 123223968 is 869322321.

It is a tau number, because it is divible by the number of its divisors (144).

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.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36696 + ... + 39912.

It is an arithmetic number, because the mean of its divisors is an integer number (2928380).

Almost surely, 2^123223968 is an apocalyptic number.

123223968 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 123223968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210843360).

123223968 is an abundant number, since it is smaller than the sum of its proper divisors (298462752).

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

123223968 is a wasteful number, since it uses less digits than its factorization.

123223968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3248 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 123223968 is about 11100.6291713578. The cubic root of 123223968 is about 497.6206527065.

It can be divided in two parts, 12322 and 3968, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 123223968 in words is "one hundred twenty-three million, two hundred twenty-three thousand, nine hundred sixty-eight".