123870270168 has 128 divisors (see below), whose sum is σ = 349090560000. Its totient is φ = 40690273536.

The previous prime is 123870270163. The next prime is 123870270253. The reversal of 123870270168 is 861072078321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123870270163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24579793 + ... + 24584831.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270000).

Almost surely, 2^123870270168 is an apocalyptic number.

123870270168 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 123870270168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174545280000).

123870270168 is an abundant number, since it is smaller than the sum of its proper divisors (225220289832).

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

123870270168 is a wasteful number, since it uses less digits than its factorization.

123870270168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 123870270168 in words is "one hundred twenty-three billion, eight hundred seventy million, two hundred seventy thousand, one hundred sixty-eight".