212071940 has 48 divisors (see below), whose sum is σ = 473748912. Its totient is φ = 79466496.

The previous prime is 212071933. The next prime is 212071949. The reversal of 212071940 is 49170212.

It can be written as a sum of positive squares in 8 ways, for example, as 33154564 + 178917376 = 5758^2 + 13376^2 .

It is not an unprimeable number, because it can be changed into a prime (212071949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77882 + ... + 80558.

It is an arithmetic number, because the mean of its divisors is an integer number (9869769).

Almost surely, 2^212071940 is an apocalyptic number.

212071940 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 212071940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236874456).

212071940 is an abundant number, since it is smaller than the sum of its proper divisors (261676972).

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

212071940 is a wasteful number, since it uses less digits than its factorization.

212071940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 212071940 is about 14562.6899987605. The cubic root of 212071940 is about 596.3406345205.

The spelling of 212071940 in words is "two hundred twelve million, seventy-one thousand, nine hundred forty".