212112013200 has 120 divisors (see below), whose sum is σ = 680569098528. Its totient is φ = 56471331840.

The previous prime is 212112013147. The next prime is 212112013213. The reversal of 212112013200 is 2310211212.

212112013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×212112013200² (a number of 23 digits) contains 22 as substring.

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 212112013200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597159 + ... + 883641.

Almost surely, 2^212112013200 is an apocalyptic number.

212112013200 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 212112013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340284549264).

212112013200 is an abundant number, since it is smaller than the sum of its proper divisors (468457085328).

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

212112013200 is a wasteful number, since it uses less digits than its factorization.

212112013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287121 (or 287110 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212112013200 its reverse (2310211212), we get a palindrome (214422224412).

The spelling of 212112013200 in words is "two hundred twelve billion, one hundred twelve million, thirteen thousand, two hundred".