123417612596880 has 1440 divisors, whose sum is σ = 505296973209600. Its totient is φ = 26432186167296.

The previous prime is 123417612596827. The next prime is 123417612596921. The reversal of 123417612596880 is 88695216714321.

It is a happy number.

123417612596880 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 7 + 612 + 5 + 9 + 6 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×123417612596880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19756297917 + ... + 19756304163.

It is an arithmetic number, because the mean of its divisors is an integer number (350900675840).

It is a 2-persistent number, because it is pandigital, and so is 2⋅123417612596880 = 246835225193760, but 3⋅123417612596880 = 370252837790640 is not.

Almost surely, 2^{123417612596880} is an apocalyptic number.

123417612596880 is a gapful number since it is divisible by the number (10) 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 123417612596880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252648486604800).

123417612596880 is an abundant number, since it is smaller than the sum of its proper divisors (381879360612720).

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

123417612596880 is a wasteful number, since it uses less digits than its factorization.

123417612596880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6469 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 123417612596880 in words is "one hundred twenty-three trillion, four hundred seventeen billion, six hundred twelve million, five hundred ninety-six thousand, eight hundred eighty".