11122102212012 has 480 divisors, whose sum is σ = 32644491264000. Its totient is φ = 3273186672000.

The previous prime is 11122102212007. The next prime is 11122102212097. The reversal of 11122102212012 is 21021220122111.

11122102212012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11122102212012² (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 22288781739 + ... + 22288782237.

It is an arithmetic number, because the mean of its divisors is an integer number (68009356800).

Almost surely, 2^{11122102212012} is an apocalyptic number.

11122102212012 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 11122102212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322245632000).

11122102212012 is an abundant number, since it is smaller than the sum of its proper divisors (21522389051988).

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

11122102212012 is a wasteful number, since it uses less digits than its factorization.

11122102212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1324 counting only the distinct ones).

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

Adding to 11122102212012 its reverse (21021220122111), we get a palindrome (32143322334123).

The spelling of 11122102212012 in words is "eleven trillion, one hundred twenty-two billion, one hundred two million, two hundred twelve thousand, twelve".