11012221022112 has 336 divisors, whose sum is σ = 32653180183680. Its totient is φ = 3654115462656.

The previous prime is 11012221022081. The next prime is 11012221022171. The reversal of 11012221022112 is 21122012221011.

11012221022112 is a `hidden beast` number, since 110 + 122 + 210 + 221 + 1 + 2 = 666.

11012221022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 55 ways as a sum of consecutive naturals, for example, 8902360758 + ... + 8902361994.

It is an arithmetic number, because the mean of its divisors is an integer number (97182083880).

Almost surely, 2^{11012221022112} is an apocalyptic number.

11012221022112 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 11012221022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16326590091840).

11012221022112 is an abundant number, since it is smaller than the sum of its proper divisors (21640959161568).

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

11012221022112 is a wasteful number, since it uses less digits than its factorization.

11012221022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2664 counting only the distinct ones).

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

Adding to 11012221022112 its reverse (21122012221011), we get a palindrome (32134233243123).

The spelling of 11012221022112 in words is "eleven trillion, twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".