1200313123000 has 128 divisors (see below), whose sum is σ = 2870401248000. Its totient is φ = 469695283200.

The previous prime is 1200313122997. The next prime is 1200313123019. The reversal of 1200313123000 is 3213130021.

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 31 ways as a sum of consecutive naturals, for example, 8541304 + ... + 8680696.

It is an arithmetic number, because the mean of its divisors is an integer number (22425009750).

Almost surely, 2^{1200313123000} is an apocalyptic number.

1200313123000 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 1200313123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435200624000).

1200313123000 is an abundant number, since it is smaller than the sum of its proper divisors (1670088125000).

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

1200313123000 is a wasteful number, since it uses less digits than its factorization.

1200313123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139602 (or 139588 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1200313123000 its reverse (3213130021), we get a palindrome (1203526253021).

The spelling of 1200313123000 in words is "one trillion, two hundred billion, three hundred thirteen million, one hundred twenty-three thousand".