10002000031200 has 288 divisors, whose sum is σ = 37421278322400. Its totient is φ = 2575227432960.

The previous prime is 10002000031183. The next prime is 10002000031279. The reversal of 10002000031200 is 213000020001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7357317 + ... + 8610116.

It is an arithmetic number, because the mean of its divisors is an integer number (129934994175).

Almost surely, 2^{10002000031200} is an apocalyptic number.

10002000031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002000031200 is an abundant number, since it is smaller than the sum of its proper divisors (27419278291200).

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

10002000031200 is a wasteful number, since it uses less digits than its factorization.

10002000031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15967491 (or 15967472 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10002000031200 its reverse (213000020001), we get a palindrome (10215000051201).

The spelling of 10002000031200 in words is "ten trillion, two billion, thirty-one thousand, two hundred".