10023003120312 has 576 divisors, whose sum is σ = 34273911672000. Its totient is φ = 2622739488768.

The previous prime is 10023003120289. The next prime is 10023003120353. The reversal of 10023003120312 is 21302130032001.

10023003120312 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 300 + 31 + 20 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3244738864 + ... + 3244741952.

It is an arithmetic number, because the mean of its divisors is an integer number (59503318875).

Almost surely, 2^{10023003120312} is an apocalyptic number.

10023003120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023003120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136955836000).

10023003120312 is an abundant number, since it is smaller than the sum of its proper divisors (24250908551688).

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

10023003120312 is a wasteful number, since it uses less digits than its factorization.

10023003120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10023003120312 its reverse (21302130032001), we get a palindrome (31325133152313).

The spelling of 10023003120312 in words is "ten trillion, twenty-three billion, three million, one hundred twenty thousand, three hundred twelve".