123863281920 has 1296 divisors, whose sum is σ = 531036105600. Its totient is φ = 27653197824.

The previous prime is 123863281901. The next prime is 123863281921. The reversal of 123863281920 is 29182368321.

123863281920 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 632 + 8 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×123863281920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (123863281921) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2880541419 + ... + 2880541461.

Almost surely, 2^123863281920 is an apocalyptic number.

123863281920 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 123863281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265518052800).

123863281920 is an abundant number, since it is smaller than the sum of its proper divisors (407172823680).

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

123863281920 is an frugal number, since it uses more digits than its factorization.

123863281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 123863281920 in words is "one hundred twenty-three billion, eight hundred sixty-three million, two hundred eighty-one thousand, nine hundred twenty".