123951168 has 112 divisors (see below), whose sum is σ = 397581120. Its totient is φ = 37555200.

The previous prime is 123951167. The next prime is 123951181. The reversal of 123951168 is 861159321.

It is a super-3 number, since 3×123951168³ (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 plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (123951167) by changing a digit.

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, 15748 + ... + 22268.

Almost surely, 2^123951168 is an apocalyptic number.

123951168 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 123951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198790560).

123951168 is an abundant number, since it is smaller than the sum of its proper divisors (273629952).

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

123951168 is a wasteful number, since it uses less digits than its factorization.

123951168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6537 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 123951168 is about 11133.3358882233. The cubic root of 123951168 is about 498.5976277146.

The spelling of 123951168 in words is "one hundred twenty-three million, nine hundred fifty-one thousand, one hundred sixty-eight".