11001121210212 has 192 divisors, whose sum is σ = 30376399872000. Its totient is φ = 3033179094528.

The previous prime is 11001121210199. The next prime is 11001121210229. The reversal of 11001121210212 is 21201212110011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11001121210191 and 11001121210200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448848214 + ... + 448872722.

It is an arithmetic number, because the mean of its divisors is an integer number (158210416000).

Almost surely, 2^{11001121210212} is an apocalyptic number.

11001121210212 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 11001121210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15188199936000).

11001121210212 is an abundant number, since it is smaller than the sum of its proper divisors (19375278661788).

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

11001121210212 is a wasteful number, since it uses less digits than its factorization.

11001121210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25738 (or 25736 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11001121210212 its reverse (21201212110011), we get a palindrome (32202333320223).

The spelling of 11001121210212 in words is "eleven trillion, one billion, one hundred twenty-one million, two hundred ten thousand, two hundred twelve".