123234222783168 has 252 divisors, whose sum is σ = 412043230806480. Its totient is φ = 35111697675264.

The previous prime is 123234222783137. The next prime is 123234222783179. The reversal of 123234222783168 is 861387222432321.

123234222783168 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 34 + 22 + 278 + 316 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 4051230 + ... + 16213602.

It is an arithmetic number, because the mean of its divisors is an integer number (1635092185740).

Almost surely, 2^{123234222783168} is an apocalyptic number.

123234222783168 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 123234222783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206021615403240).

123234222783168 is an abundant number, since it is smaller than the sum of its proper divisors (288809008023312).

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

123234222783168 is a wasteful number, since it uses less digits than its factorization.

123234222783168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12162764 (or 12162744 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 123234222783168 in words is "one hundred twenty-three trillion, two hundred thirty-four billion, two hundred twenty-two million, seven hundred eighty-three thousand, one hundred sixty-eight".