10001120012000 has 384 divisors, whose sum is σ = 27022681340928. Its totient is φ = 3615363072000.

The previous prime is 10001120011997. The next prime is 10001120012003. The reversal of 10001120012000 is 21002110001.

It is an interprime number because it is at equal distance from previous prime (10001120011997) and next prime (10001120012003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001120012003) 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 63 ways as a sum of consecutive naturals, for example, 520042385 + ... + 520061615.

It is an arithmetic number, because the mean of its divisors is an integer number (70371565992).

Almost surely, 2^{10001120012000} is an apocalyptic number.

10001120012000 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 10001120012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511340670464).

10001120012000 is an abundant number, since it is smaller than the sum of its proper divisors (17021561328928).

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

10001120012000 is a wasteful number, since it uses less digits than its factorization.

10001120012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19479 (or 19461 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001120012000 its reverse (21002110001), we get a palindrome (10022122122001).

The spelling of 10001120012000 in words is "ten trillion, one billion, one hundred twenty million, twelve thousand".