211012121210112 has 432 divisors, whose sum is σ = 648470311332480. Its totient is φ = 65863784448000.

The previous prime is 211012121210057. The next prime is 211012121210117.

It is a happy number.

211012121210112 is a `hidden beast` number, since 211 + 0 + 12 + 121 + 210 + 112 = 666.

211012121210112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211012121210112² (a number of 29 digits) contains 22 as substring.

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 (211012121210117) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 768714487 + ... + 768988937.

It is an arithmetic number, because the mean of its divisors is an integer number (1501088683640).

Almost surely, 2^{211012121210112} 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 211012121210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324235155666240).

211012121210112 is an abundant number, since it is smaller than the sum of its proper divisors (437458190122368).

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

211012121210112 is a wasteful number, since it uses less digits than its factorization.

211012121210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274850 (or 274833 counting only the distinct ones).

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

The spelling of 211012121210112 in words is "two hundred eleven trillion, twelve billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".