123302687088768 has 384 divisors, whose sum is σ = 366983307936000. Its totient is φ = 36643149649920.

The previous prime is 123302687088683. The next prime is 123302687088781. The reversal of 123302687088768 is 867880786203321.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×123302687088768² (a number of 29 digits) contains 22 as substring.

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, 1148582871 + ... + 1148690217.

It is an arithmetic number, because the mean of its divisors is an integer number (955685697750).

Almost surely, 2^{123302687088768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123302687088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183491653968000).

123302687088768 is an abundant number, since it is smaller than the sum of its proper divisors (243680620847232).

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

123302687088768 is a wasteful number, since it uses less digits than its factorization.

123302687088768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107864 (or 107841 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 69.

The spelling of 123302687088768 in words is "one hundred twenty-three trillion, three hundred two billion, six hundred eighty-seven million, eighty-eight thousand, seven hundred sixty-eight".