211212001000 has 768 divisors, whose sum is σ = 692133361920. Its totient is φ = 59270400000.

The previous prime is 211212000977. The next prime is 211212001003. The reversal of 211212001000 is 100212112.

211212001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211212001000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211212001003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 301300650 + ... + 301301350.

It is an arithmetic number, because the mean of its divisors is an integer number (901215315).

Almost surely, 2^211212001000 is an apocalyptic number.

211212001000 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 211212001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346066680960).

211212001000 is an abundant number, since it is smaller than the sum of its proper divisors (480921360920).

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

211212001000 is a wasteful number, since it uses less digits than its factorization.

211212001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211212001000 its reverse (100212112), we get a palindrome (211312213112).

The spelling of 211212001000 in words is "two hundred eleven billion, two hundred twelve million, one thousand".