123123201120 has 432 divisors, whose sum is σ = 459333005040. Its totient is φ = 31099769856.

The previous prime is 123123201079. The next prime is 123123201181. The reversal of 123123201120 is 21102321321.

123123201120 is a `hidden beast` number, since 1 + 2 + 312 + 320 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123123201093 and 123123201102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19942354 + ... + 19948526.

It is an arithmetic number, because the mean of its divisors is an integer number (1063270845).

Almost surely, 2^123123201120 is an apocalyptic number.

123123201120 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 123123201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229666502520).

123123201120 is an abundant number, since it is smaller than the sum of its proper divisors (336209803920).

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

123123201120 is an frugal number, since it uses more digits than its factorization.

123123201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6231 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123123201120 its reverse (21102321321), we get a palindrome (144225522441).

The spelling of 123123201120 in words is "one hundred twenty-three billion, one hundred twenty-three million, two hundred one thousand, one hundred twenty".