11121211111212 has 144 divisors (see below), whose sum is σ = 29103900134400. Its totient is φ = 3577989884544.

The previous prime is 11121211111211. The next prime is 11121211111237. The reversal of 11121211111212 is 21211111212111.

11121211111212 is a `hidden beast` number, since 11 + 121 + 211 + 111 + 212 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11121211111211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83995039 + ... + 84127337.

It is an arithmetic number, because the mean of its divisors is an integer number (202110417600).

Almost surely, 2^{11121211111212} is an apocalyptic number.

11121211111212 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 11121211111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551950067200).

11121211111212 is an abundant number, since it is smaller than the sum of its proper divisors (17982689023188).

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

11121211111212 is a wasteful number, since it uses less digits than its factorization.

11121211111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132852 (or 132847 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 11121211111212 its reverse (21211111212111), we get a palindrome (32332322323323).

It can be divided in two parts, 111 and 21211111212, that multiplied together give a palindrome (2354433344532).

The spelling of 11121211111212 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, two hundred twelve".