211120122212010 has 256 divisors, whose sum is σ = 616588267806720. Its totient is φ = 50978970017280.

The previous prime is 211120122211939. The next prime is 211120122212099. The reversal of 211120122212010 is 10212221021112.

211120122212010 is a `hidden beast` number, since 2 + 111 + 201 + 222 + 120 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7629087534 + ... + 7629115206.

It is an arithmetic number, because the mean of its divisors is an integer number (2408547921120).

Almost surely, 2^{211120122212010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120122212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308294133903360).

211120122212010 is an abundant number, since it is smaller than the sum of its proper divisors (405468145594710).

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

211120122212010 is a wasteful number, since it uses less digits than its factorization.

211120122212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37730 (or 37724 counting only the distinct ones).

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

Adding to 211120122212010 its reverse (10212221021112), we get a palindrome (221332343233122).

The spelling of 211120122212010 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, ten".