212111013120 has 144 divisors (see below), whose sum is σ = 678247274880. Its totient is φ = 56494661632.

The previous prime is 212111013083. The next prime is 212111013151. The reversal of 212111013120 is 21310111212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212111013120.

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, 3188842 + ... + 3254678.

It is an arithmetic number, because the mean of its divisors is an integer number (4710050520).

Almost surely, 2^212111013120 is an apocalyptic number.

212111013120 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 212111013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339123637440).

212111013120 is an abundant number, since it is smaller than the sum of its proper divisors (466136261760).

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

212111013120 is an equidigital number, since it uses as much as digits as its factorization.

212111013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66700 (or 66686 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212111013120 its reverse (21310111212), we get a palindrome (233421124332).

The spelling of 212111013120 in words is "two hundred twelve billion, one hundred eleven million, thirteen thousand, one hundred twenty".