11011251012 has 48 divisors (see below), whose sum is σ = 26853869952. Its totient is φ = 3505089280.

The previous prime is 11011250993. The next prime is 11011251037. The reversal of 11011251012 is 21015211011.

It is a junction number, because it is equal to n+sod(n) for n = 11011250982 and 11011251000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137962 + ... + 202622.

It is an arithmetic number, because the mean of its divisors is an integer number (559455624).

Almost surely, 2^11011251012 is an apocalyptic number.

11011251012 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 11011251012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426934976).

11011251012 is an abundant number, since it is smaller than the sum of its proper divisors (15842618940).

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

11011251012 is a wasteful number, since it uses less digits than its factorization.

11011251012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65308 (or 65306 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 11011251012 its reverse (21015211011), we get a palindrome (32026462023).

The spelling of 11011251012 in words is "eleven billion, eleven million, two hundred fifty-one thousand, twelve".