123204248768160 has 864 divisors, whose sum is σ = 498223488409920. Its totient is φ = 27635957121024.

The previous prime is 123204248768141. The next prime is 123204248768179. The reversal of 123204248768160 is 61867842402321.

123204248768160 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 42 + 487 + 68 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (123204248768141) and next prime (123204248768179).

It is a junction number, because it is equal to n+sod(n) for n = 123204248768097 and 123204248768106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2443679272 + ... + 2443729688.

It is an arithmetic number, because the mean of its divisors is an integer number (576647556030).

Almost surely, 2^{123204248768160} is an apocalyptic number.

123204248768160 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 123204248768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249111744204960).

123204248768160 is an abundant number, since it is smaller than the sum of its proper divisors (375019239641760).

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

123204248768160 is a wasteful number, since it uses less digits than its factorization.

123204248768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51098 (or 51080 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 123204248768160 in words is "one hundred twenty-three trillion, two hundred four billion, two hundred forty-eight million, seven hundred sixty-eight thousand, one hundred sixty".