123403813120 has 288 divisors, whose sum is σ = 342548236800. Its totient is φ = 41722380288.

The previous prime is 123403813111. The next prime is 123403813121. The reversal of 123403813120 is 21318304321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (123403813121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281101861 + ... + 281102299.

It is an arithmetic number, because the mean of its divisors is an integer number (1189403600).

Almost surely, 2^123403813120 is an apocalyptic number.

123403813120 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 123403813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171274118400).

123403813120 is an abundant number, since it is smaller than the sum of its proper divisors (219144423680).

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

123403813120 is a wasteful number, since it uses less digits than its factorization.

123403813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 123403813120 in words is "one hundred twenty-three billion, four hundred three million, eight hundred thirteen thousand, one hundred twenty".