123396678288000 has 4096 divisors, whose sum is σ = 523426385664000. Its totient is φ = 28359681638400.

The previous prime is 123396678287947. The next prime is 123396678288019. The reversal of 123396678288000 is 882876693321.

123396678288000 is a `hidden beast` number, since 12 + 339 + 6 + 6 + 7 + 8 + 288 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×123396678288000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1153239983947 + ... + 1153239984053.

Almost surely, 2^{123396678288000} is an apocalyptic number.

123396678288000 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 123396678288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261713192832000).

123396678288000 is an abundant number, since it is smaller than the sum of its proper divisors (400029707376000).

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

123396678288000 is a wasteful number, since it uses less digits than its factorization.

123396678288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 123396678288000 in words is "one hundred twenty-three trillion, three hundred ninety-six billion, six hundred seventy-eight million, two hundred eighty-eight thousand".