123738418872 has 192 divisors, whose sum is σ = 344108943360. Its totient is φ = 40158720000.

The previous prime is 123738418861. The next prime is 123738418877. The reversal of 123738418872 is 278814837321.

123738418872 is a `hidden beast` number, since 12 + 3 + 7 + 384 + 188 + 72 = 666.

It is a super-2 number, since 2×123738418872² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123738418877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164764497 + ... + 164765247.

It is an arithmetic number, because the mean of its divisors is an integer number (1792234080).

Almost surely, 2^123738418872 is an apocalyptic number.

123738418872 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 123738418872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172054471680).

123738418872 is an abundant number, since it is smaller than the sum of its proper divisors (220370524488).

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

123738418872 is a wasteful number, since it uses less digits than its factorization.

123738418872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1187 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 123738418872 in words is "one hundred twenty-three billion, seven hundred thirty-eight million, four hundred eighteen thousand, eight hundred seventy-two".