212375016 has 144 divisors (see below), whose sum is σ = 708647940. Its totient is φ = 57093120.

The previous prime is 212375011. The next prime is 212375021. The reversal of 212375016 is 610573212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212375011) and next prime (212375021).

It can be written as a sum of positive squares in 2 ways, for example, as 209960100 + 2414916 = 14490^2 + 1554^2 .

It is not an unprimeable number, because it can be changed into a prime (212375011) 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 35 ways as a sum of consecutive naturals, for example, 58206 + ... + 61746.

Almost surely, 2^212375016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212375016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354323970).

212375016 is an abundant number, since it is smaller than the sum of its proper divisors (496272924).

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

212375016 is a wasteful number, since it uses less digits than its factorization.

212375016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 212375016 is about 14573.0921907466. The cubic root of 212375016 is about 596.6245798402.

The spelling of 212375016 in words is "two hundred twelve million, three hundred seventy-five thousand, sixteen".