123087675360 has 288 divisors, whose sum is σ = 425182141440. Its totient is φ = 29913421824.

The previous prime is 123087675349. The next prime is 123087675377. The reversal of 123087675360 is 63576780321.

123087675360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123087675360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6398877 + ... + 6418083.

It is an arithmetic number, because the mean of its divisors is an integer number (1476326880).

Almost surely, 2^123087675360 is an apocalyptic number.

123087675360 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 123087675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212591070720).

123087675360 is an abundant number, since it is smaller than the sum of its proper divisors (302094466080).

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

123087675360 is a wasteful number, since it uses less digits than its factorization.

123087675360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19330 (or 19309 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 123087675360 in words is "one hundred twenty-three billion, eighty-seven million, six hundred seventy-five thousand, three hundred sixty".