212011001120 has 144 divisors (see below), whose sum is σ = 538061204520. Its totient is φ = 78917566464.

The previous prime is 212011001087. The next prime is 212011001149. The reversal of 212011001120 is 21100110212.

It can be written as a sum of positive squares in 12 ways, for example, as 98789518864 + 113221482256 = 314308^2 + 336484^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4089602 + ... + 4141118.

Almost surely, 2^212011001120 is an apocalyptic number.

212011001120 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 212011001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269030602260).

212011001120 is an abundant number, since it is smaller than the sum of its proper divisors (326050203400).

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

212011001120 is a wasteful number, since it uses less digits than its factorization.

212011001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51655 (or 51630 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212011001120 its reverse (21100110212), we get a palindrome (233111111332).

The spelling of 212011001120 in words is "two hundred twelve billion, eleven million, one thousand, one hundred twenty".