211212201000 has 128 divisors (see below), whose sum is σ = 659841811200. Its totient is φ = 56249772800.

The previous prime is 211212200963. The next prime is 211212201007. The reversal of 211212201000 is 102212112.

It is a super-2 number, since 2×211212201000² (a number of 23 digits) 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 (211212201007) by changing a digit.

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, 2273461 + ... + 2364539.

It is an arithmetic number, because the mean of its divisors is an integer number (5155014150).

Almost surely, 2^211212201000 is an apocalyptic number.

211212201000 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 211212201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329920905600).

211212201000 is an abundant number, since it is smaller than the sum of its proper divisors (448629610200).

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

211212201000 is a wasteful number, since it uses less digits than its factorization.

211212201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91876 (or 91862 counting only the distinct ones).

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

Adding to 211212201000 its reverse (102212112), we get a palindrome (211314413112).

The spelling of 211212201000 in words is "two hundred eleven billion, two hundred twelve million, two hundred one thousand".