211213200 has 120 divisors (see below), whose sum is σ = 738140256. Its totient is φ = 51200000.

The previous prime is 211213157. The next prime is 211213207. The reversal of 211213200 is 2312112.

211213200 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 2×211213200² = 89222031708480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211213207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5200 + ... + 21200.

Almost surely, 2^211213200 is an apocalyptic number.

211213200 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 211213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369070128).

211213200 is an abundant number, since it is smaller than the sum of its proper divisors (526927056).

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

211213200 is a wasteful number, since it uses less digits than its factorization.

211213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16033 (or 16022 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211213200 is about 14533.1758401252. The cubic root of 211213200 is about 595.5346276360.

Adding to 211213200 its reverse (2312112), we get a palindrome (213525312).

It can be divided in two parts, 2112 and 13200, that multiplied together give a square (27878400 = 5280²).

The spelling of 211213200 in words is "two hundred eleven million, two hundred thirteen thousand, two hundred".