211000121000112 has 320 divisors, whose sum is σ = 598954828437504. Its totient is φ = 63733111603200.

The previous prime is 211000121000101. The next prime is 211000121000147.

211000121000112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 5632208293 + ... + 5632245755.

Almost surely, 2^{211000121000112} 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 211000121000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299477414218752).

211000121000112 is an abundant number, since it is smaller than the sum of its proper divisors (387954707437392).

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

211000121000112 is a wasteful number, since it uses less digits than its factorization.

211000121000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39476 (or 39470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 211000121000112 in words is "two hundred eleven trillion, one hundred twenty-one million, one hundred twelve", and thus it is an aban number.