212200011120 has 160 divisors (see below), whose sum is σ = 694692536832. Its totient is φ = 53474139136.

The previous prime is 212200011113. The next prime is 212200011131. The reversal of 212200011120 is 21110002212.

212200011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 212200011096 and 212200011105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 226582 + ... + 689738.

Almost surely, 2^212200011120 is an apocalyptic number.

212200011120 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 212200011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347346268416).

212200011120 is an abundant number, since it is smaller than the sum of its proper divisors (482492525712).

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

212200011120 is a wasteful number, since it uses less digits than its factorization.

212200011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463279 (or 463273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212200011120 its reverse (21110002212), we get a palindrome (233310013332).

The spelling of 212200011120 in words is "two hundred twelve billion, two hundred million, eleven thousand, one hundred twenty".