11006227721712 has 80 divisors (see below), whose sum is σ = 29929999714560. Its totient is φ = 3475559817216.

The previous prime is 11006227721677. The next prime is 11006227721719. The reversal of 11006227721712 is 21712772260011.

It is a happy number.

It is a super-2 number, since 2×11006227721712² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006227721719) by changing a digit.

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, 40372453 + ... + 40644155.

It is an arithmetic number, because the mean of its divisors is an integer number (374124996432).

Almost surely, 2^{11006227721712} is an apocalyptic number.

11006227721712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11006227721712 is an abundant number, since it is smaller than the sum of its proper divisors (18923771992848).

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

11006227721712 is a wasteful number, since it uses less digits than its factorization.

11006227721712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316150 (or 316144 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

Adding to 11006227721712 its reverse (21712772260011), we get a palindrome (32718999981723).

The spelling of 11006227721712 in words is "eleven trillion, six billion, two hundred twenty-seven million, seven hundred twenty-one thousand, seven hundred twelve".