212201000 has 128 divisors (see below), whose sum is σ = 549918720. Its totient is φ = 76000000.

The previous prime is 212200981. The next prime is 212201023. The reversal of 212201000 is 102212.

212201000 is digitally balanced in base 2, 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 (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110905 + ... + 1111095.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^212201000 is an apocalyptic number.

212201000 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 212201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274959360).

212201000 is an abundant number, since it is smaller than the sum of its proper divisors (337717720).

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

212201000 is a wasteful number, since it uses less digits than its factorization.

212201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

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

The square root of 212201000 is about 14567.1205116179. The cubic root of 212201000 is about 596.4615810808.

Adding to 212201000 its reverse (102212), we get a palindrome (212303212).

The spelling of 212201000 in words is "two hundred twelve million, two hundred one thousand".