11022121022112 has 72 divisors (see below), whose sum is σ = 31379654726784. Its totient is φ = 3669879394944.

The previous prime is 11022121022053. The next prime is 11022121022123. The reversal of 11022121022112 is 21122012122011.

11022121022112 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 210 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21416848 + ... + 21925455.

It is an arithmetic number, because the mean of its divisors is an integer number (435828537872).

Almost surely, 2^{11022121022112} is an apocalyptic number.

11022121022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11022121022112 is an abundant number, since it is smaller than the sum of its proper divisors (20357533704672).

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

11022121022112 is a wasteful number, since it uses less digits than its factorization.

11022121022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43343202 (or 43343191 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11022121022112 its reverse (21122012122011), we get a palindrome (32144133144123).

The spelling of 11022121022112 in words is "eleven trillion, twenty-two billion, one hundred twenty-one million, twenty-two thousand, one hundred twelve".