2120211221112 has 192 divisors, whose sum is σ = 6031659142080. Its totient is φ = 672084781056.

The previous prime is 2120211221099. The next prime is 2120211221113. The reversal of 2120211221112 is 2111221120212.

2120211221112 is a `hidden beast` number, since 2 + 120 + 211 + 221 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120211221113) 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, 37104948 + ... + 37162044.

It is an arithmetic number, because the mean of its divisors is an integer number (31414891365).

Almost surely, 2^{2120211221112} 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 2120211221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015829571040).

2120211221112 is an abundant number, since it is smaller than the sum of its proper divisors (3911447920968).

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

2120211221112 is a wasteful number, since it uses less digits than its factorization.

2120211221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57462 (or 57455 counting only the distinct ones).

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

Adding to 2120211221112 its reverse (2111221120212), we get a palindrome (4231432341324).

The spelling of 2120211221112 in words is "two trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twelve".