211212000 has 144 divisors (see below), whose sum is σ = 749719152. Its totient is φ = 56313600.

The previous prime is 211211989. The next prime is 211212011. The reversal of 211212000 is 212112.

211212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211211989) and next prime (211212011).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×211212000² = 89221017888000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33067 + ... + 38933.

It is an arithmetic number, because the mean of its divisors is an integer number (5206383).

Almost surely, 2^211212000 is an apocalyptic number.

211212000 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 211212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374859576).

211212000 is an abundant number, since it is smaller than the sum of its proper divisors (538507152).

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

211212000 is a wasteful number, since it uses less digits than its factorization.

211212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 211212000 is about 14533.1345552155. The cubic root of 211212000 is about 595.5334997979.

Adding to 211212000 its reverse (212112), we get a palindrome (211424112).

The spelling of 211212000 in words is "two hundred eleven million, two hundred twelve thousand".