10011121312 has 48 divisors (see below), whose sum is σ = 20657270592. Its totient is φ = 4766755840.

The previous prime is 10011121303. The next prime is 10011121333. The reversal of 10011121312 is 21312111001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10011121292 and 10011121301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137112 + ... + 197032.

It is an arithmetic number, because the mean of its divisors is an integer number (430359804).

Almost surely, 2^10011121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328635296).

10011121312 is an abundant number, since it is smaller than the sum of its proper divisors (10646149280).

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

10011121312 is a wasteful number, since it uses less digits than its factorization.

10011121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60181 (or 60173 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10011121312 its reverse (21312111001), we get a palindrome (31323232313).

The spelling of 10011121312 in words is "ten billion, eleven million, one hundred twenty-one thousand, three hundred twelve".