211121201121012 has 288 divisors, whose sum is σ = 674607509721600. Its totient is φ = 54172707849216.

The previous prime is 211121201120993. The next prime is 211121201121041. The reversal of 211121201121012 is 210121102121112.

It is a happy number.

211121201121012 is a `hidden beast` number, since 211 + 121 + 201 + 121 + 0 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3650755314 + ... + 3650813142.

Almost surely, 2^{211121201121012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211121201121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337303754860800).

211121201121012 is an abundant number, since it is smaller than the sum of its proper divisors (463486308600588).

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

211121201121012 is a wasteful number, since it uses less digits than its factorization.

211121201121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88015 (or 88010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211121201121012 its reverse (210121102121112), we get a palindrome (421242303242124).

The spelling of 211121201121012 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-one thousand, twelve".