10003200012312 has 128 divisors (see below), whose sum is σ = 28517599756800. Its totient is φ = 2896682600448.

The previous prime is 10003200012277. The next prime is 10003200012319. The reversal of 10003200012312 is 21321000230001.

It is a junction number, because it is equal to n+sod(n) for n = 10003200012291 and 10003200012300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003200012319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109784389 + ... + 109875467.

It is an arithmetic number, because the mean of its divisors is an integer number (222793748100).

Almost surely, 2^{10003200012312} is an apocalyptic number.

10003200012312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003200012312 is an abundant number, since it is smaller than the sum of its proper divisors (18514399744488).

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

10003200012312 is a wasteful number, since it uses less digits than its factorization.

10003200012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111825 (or 111821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10003200012312 its reverse (21321000230001), we get a palindrome (31324200242313).

The spelling of 10003200012312 in words is "ten trillion, three billion, two hundred million, twelve thousand, three hundred twelve".