123364227672 has 192 divisors, whose sum is σ = 402202195200. Its totient is φ = 33369926400.

The previous prime is 123364227619. The next prime is 123364227683. The reversal of 123364227672 is 276722463321.

123364227672 is a `hidden beast` number, since 1 + 2 + 3 + 364 + 227 + 67 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19120047 + ... + 19126497.

It is an arithmetic number, because the mean of its divisors is an integer number (2094803100).

Almost surely, 2^123364227672 is an apocalyptic number.

123364227672 is a gapful number since it is divisible by the number (12) 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 123364227672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201101097600).

123364227672 is an abundant number, since it is smaller than the sum of its proper divisors (278837967528).

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

123364227672 is a wasteful number, since it uses less digits than its factorization.

123364227672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8486 (or 8479 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 123364227672 in words is "one hundred twenty-three billion, three hundred sixty-four million, two hundred twenty-seven thousand, six hundred seventy-two".