123840468072 has 192 divisors, whose sum is σ = 375198220800. Its totient is φ = 36713564160.

The previous prime is 123840468067. The next prime is 123840468077. The reversal of 123840468072 is 270864048321.

It is a happy number.

123840468072 is a `hidden beast` number, since 1 + 238 + 404 + 6 + 8 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (123840468067) and next prime (123840468077).

It is not an unprimeable number, because it can be changed into a prime (123840468077) 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, 1631197 + ... + 1705427.

It is an arithmetic number, because the mean of its divisors is an integer number (1954157400).

Almost surely, 2^123840468072 is an apocalyptic number.

123840468072 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 123840468072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187599110400).

123840468072 is an abundant number, since it is smaller than the sum of its proper divisors (251357752728).

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

123840468072 is a wasteful number, since it uses less digits than its factorization.

123840468072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74336 (or 74329 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 123840468072 in words is "one hundred twenty-three billion, eight hundred forty million, four hundred sixty-eight thousand, seventy-two".