1012311200000 has 216 divisors, whose sum is σ = 2607210627840. Its totient is φ = 391852800000.

The previous prime is 1012311199997. The next prime is 1012311200003. The reversal of 1012311200000 is 21132101.

It is an interprime number because it is at equal distance from previous prime (1012311199997) and next prime (1012311200003).

It is not an unprimeable number, because it can be changed into a prime (1012311200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24779591 + ... + 24820409.

Almost surely, 2^{1012311200000} is an apocalyptic number.

1012311200000 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 1012311200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303605313920).

1012311200000 is an abundant number, since it is smaller than the sum of its proper divisors (1594899427840).

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

1012311200000 is an frugal number, since it uses more digits than its factorization.

1012311200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40891 (or 40857 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1012311200000 its reverse (21132101), we get a palindrome (1012332332101).

The spelling of 1012311200000 in words is "one trillion, twelve billion, three hundred eleven million, two hundred thousand".