1200123110320 has 80 divisors (see below), whose sum is σ = 2882483723520. Its totient is φ = 464210841600.

The previous prime is 1200123110297. The next prime is 1200123110323. The reversal of 1200123110320 is 230113210021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1200123110294 and 1200123110303.

It is not an unprimeable number, because it can be changed into a prime (1200123110323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3092916 + ... + 3459244.

It is an arithmetic number, because the mean of its divisors is an integer number (36031046544).

Almost surely, 2^{1200123110320} is an apocalyptic number.

1200123110320 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 1200123110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441241861760).

1200123110320 is an abundant number, since it is smaller than the sum of its proper divisors (1682360613200).

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

1200123110320 is a wasteful number, since it uses less digits than its factorization.

1200123110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367694 (or 367688 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1200123110320 its reverse (230113210021), we get a palindrome (1430236320341).

The spelling of 1200123110320 in words is "one trillion, two hundred billion, one hundred twenty-three million, one hundred ten thousand, three hundred twenty".