212001000 has 64 divisors (see below), whose sum is σ = 661452480. Its totient is φ = 56532800.

The previous prime is 212000963. The next prime is 212001001. The reversal of 212001000 is 100212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212001000.

It is not an unprimeable number, because it can be changed into a prime (212001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32334 + ... + 38333.

It is an arithmetic number, because the mean of its divisors is an integer number (10335195).

Almost surely, 2^212001000 is an apocalyptic number.

212001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001000 is an abundant number, since it is smaller than the sum of its proper divisors (449451480).

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

212001000 is a wasteful number, since it uses less digits than its factorization.

212001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70691 (or 70677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 212001000 is about 14560.2541186615. The cubic root of 212001000 is about 596.2741333094.

Adding to 212001000 its reverse (100212), we get a palindrome (212101212).

The spelling of 212001000 in words is "two hundred twelve million, one thousand".