1000312123000 has 256 divisors, whose sum is σ = 2441552855040. Its totient is φ = 383185728000.

The previous prime is 1000312122983. The next prime is 1000312123003. The reversal of 1000312123000 is 3212130001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000312123003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2054028757 + ... + 2054029243.

It is an arithmetic number, because the mean of its divisors is an integer number (9537315840).

Almost surely, 2^{1000312123000} is an apocalyptic number.

1000312123000 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 1000312123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220776427520).

1000312123000 is an abundant number, since it is smaller than the sum of its proper divisors (1441240732040).

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

1000312123000 is a wasteful number, since it uses less digits than its factorization.

1000312123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1000312123000 its reverse (3212130001), we get a palindrome (1003524253001).

The spelling of 1000312123000 in words is "one trillion, three hundred twelve million, one hundred twenty-three thousand".