1003111200312 has 64 divisors (see below), whose sum is σ = 2758145402880. Its totient is φ = 302082582912.

The previous prime is 1003111200269. The next prime is 1003111200353. The reversal of 1003111200312 is 2130021113001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1003111200291 and 1003111200300.

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 15 ways as a sum of consecutive naturals, for example, 34188528 + ... + 34217855.

It is an arithmetic number, because the mean of its divisors is an integer number (43096021920).

Almost surely, 2^{1003111200312} is an apocalyptic number.

1003111200312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003111200312 is an abundant number, since it is smaller than the sum of its proper divisors (1755034202568).

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

1003111200312 is a wasteful number, since it uses less digits than its factorization.

1003111200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68406452 (or 68406448 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1003111200312 its reverse (2130021113001), we get a palindrome (3133132313313).

The spelling of 1003111200312 in words is "one trillion, three billion, one hundred eleven million, two hundred thousand, three hundred twelve".