123096250368 has 768 divisors, whose sum is σ = 475517952000. Its totient is φ = 30534008832.

The previous prime is 123096250363. The next prime is 123096250391. The reversal of 123096250368 is 863052690321.

123096250368 is a `hidden beast` number, since 1 + 2 + 30 + 9 + 6 + 250 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×123096250368² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123096250363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85542193 + ... + 85543631.

It is an arithmetic number, because the mean of its divisors is an integer number (619164000).

Almost surely, 2^123096250368 is an apocalyptic number.

123096250368 is a gapful number since it is divisible by the number (18) 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 123096250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976000).

123096250368 is an abundant number, since it is smaller than the sum of its proper divisors (352421701632).

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

123096250368 is a wasteful number, since it uses less digits than its factorization.

123096250368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 123096250368 in words is "one hundred twenty-three billion, ninety-six million, two hundred fifty thousand, three hundred sixty-eight".