211120012000 has 96 divisors (see below), whose sum is σ = 518921151840. Its totient is φ = 84415564800.

The previous prime is 211120011997. The next prime is 211120012031. The reversal of 211120012000 is 210021112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12259396 + ... + 12276604.

It is an arithmetic number, because the mean of its divisors is an integer number (5405428665).

Almost surely, 2^211120012000 is an apocalyptic number.

211120012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259460575920).

211120012000 is an abundant number, since it is smaller than the sum of its proper divisors (307801139840).

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

211120012000 is a wasteful number, since it uses less digits than its factorization.

211120012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20301 (or 20283 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211120012000 its reverse (210021112), we get a palindrome (211330033112).

The spelling of 211120012000 in words is "two hundred eleven billion, one hundred twenty million, twelve thousand".