10011200001200 has 60 divisors (see below), whose sum is σ = 24054313498320. Its totient is φ = 4004079502080.

The previous prime is 10011200001181. The next prime is 10011200001281. The reversal of 10011200001200 is 210000211001.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2769062 + ... + 5262138.

It is an arithmetic number, because the mean of its divisors is an integer number (400905224972).

Almost surely, 2^{10011200001200} is an apocalyptic number.

10011200001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011200001200 is an abundant number, since it is smaller than the sum of its proper divisors (14043113497120).

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

10011200001200 is a wasteful number, since it uses less digits than its factorization.

10011200001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503134 (or 2503123 counting only the distinct ones).

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

Adding to 10011200001200 its reverse (210000211001), we get a palindrome (10221200212201).

The spelling of 10011200001200 in words is "ten trillion, eleven billion, two hundred million, one thousand, two hundred".