123864103040 has 64 divisors (see below), whose sum is σ = 296155906560. Its totient is φ = 49538399232.

The previous prime is 123864103039. The next prime is 123864103049. The reversal of 123864103040 is 40301468321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 123864102988 and 123864103006.

It is not an unprimeable number, because it can be changed into a prime (123864103049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7407329 + ... + 7424031.

It is an arithmetic number, because the mean of its divisors is an integer number (4627436040).

Almost surely, 2^123864103040 is an apocalyptic number.

123864103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123864103040 is an abundant number, since it is smaller than the sum of its proper divisors (172291803520).

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

123864103040 is a wasteful number, since it uses less digits than its factorization.

123864103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28309 (or 28297 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 123864103040 in words is "one hundred twenty-three billion, eight hundred sixty-four million, one hundred three thousand, forty".