123678876321 has 256 divisors, whose sum is σ = 254101585920. Its totient is φ = 57375682560.

The previous prime is 123678876311. The next prime is 123678876341.

It is a happy number.

123678876321 is a `hidden beast` number, since 1 + 236 + 7 + 8 + 87 + 6 + 321 = 666.

123678876321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123678876321 - 2⁷ = 123678876193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123678876311) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 336999480 + ... + 336999846.

It is an arithmetic number, because the mean of its divisors is an integer number (992584320).

Almost surely, 2^123678876321 is an apocalyptic number.

123678876321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123678876321 is an abundant number, since it is smaller than the sum of its proper divisors (130422709599).

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

123678876321 is a wasteful number, since it uses less digits than its factorization.

123678876321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

It can be divided in two parts, 123678 and 876321, that added together give a palindrome (999999).

The spelling of 123678876321 in words is "one hundred twenty-three billion, six hundred seventy-eight million, eight hundred seventy-six thousand, three hundred twenty-one".