10001312011200 has 672 divisors, whose sum is σ = 33856350554880. Its totient is φ = 2583871488000.

The previous prime is 10001312011151. The next prime is 10001312011219. The reversal of 10001312011200 is 211021310001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5294499856 + ... + 5294501744.

It is an arithmetic number, because the mean of its divisors is an integer number (50381474040).

Almost surely, 2^{10001312011200} is an apocalyptic number.

10001312011200 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 10001312011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16928175277440).

10001312011200 is an abundant number, since it is smaller than the sum of its proper divisors (23855038543680).

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

10001312011200 is a wasteful number, since it uses less digits than its factorization.

10001312011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2230 counting only the distinct ones).

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

Adding to 10001312011200 its reverse (211021310001), we get a palindrome (10212333321201).

The spelling of 10001312011200 in words is "ten trillion, one billion, three hundred twelve million, eleven thousand, two hundred".