10123218560 has 128 divisors (see below), whose sum is σ = 29785795200. Its totient is φ = 3203813376.

The previous prime is 10123218559. The next prime is 10123218617. The reversal of 10123218560 is 6581232101.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28670 + ... + 145149.

It is an arithmetic number, because the mean of its divisors is an integer number (232701525).

Almost surely, 2^10123218560 is an apocalyptic number.

10123218560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123218560 is an abundant number, since it is smaller than the sum of its proper divisors (19662576640).

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

10123218560 is a wasteful number, since it uses less digits than its factorization.

10123218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173858 (or 173846 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 10123218560 in words is "ten billion, one hundred twenty-three million, two hundred eighteen thousand, five hundred sixty".