10001204112000 has 128 divisors (see below), whose sum is σ = 33153991790400. Its totient is φ = 2666987750400.

The previous prime is 10001204111999. The next prime is 10001204112001. The reversal of 10001204112000 is 21140210001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001204111999) and next prime (10001204112001).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (10001204112001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104131210 + ... + 104227209.

Almost surely, 2^{10001204112000} is an apocalyptic number.

10001204112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001204112000 is an abundant number, since it is smaller than the sum of its proper divisors (23152787678400).

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

10001204112000 is an equidigital number, since it uses as much as digits as its factorization.

10001204112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208358451 (or 208358429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001204112000 its reverse (21140210001), we get a palindrome (10022344322001).

The spelling of 10001204112000 in words is "ten trillion, one billion, two hundred four million, one hundred twelve thousand".