11012228844672 has 512 divisors, whose sum is σ = 34056607334400. Its totient is φ = 3119418593280.

The previous prime is 11012228844619. The next prime is 11012228844731. The reversal of 11012228844672 is 27644882221011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4141491279 + ... + 4141493937.

It is an arithmetic number, because the mean of its divisors is an integer number (66516811200).

Almost surely, 2^{11012228844672} is an apocalyptic number.

11012228844672 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 11012228844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028303667200).

11012228844672 is an abundant number, since it is smaller than the sum of its proper divisors (23044378489728).

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

11012228844672 is a wasteful number, since it uses less digits than its factorization.

11012228844672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 11012228844672 in words is "eleven trillion, twelve billion, two hundred twenty-eight million, eight hundred forty-four thousand, six hundred seventy-two".