201500212000 has 48 divisors (see below), whose sum is σ = 495086030712. Its totient is φ = 80600083200.

The previous prime is 201500211989. The next prime is 201500212019. The reversal of 201500212000 is 212005102.

201500212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12835077264 + 188665134736 = 113292^2 + 434356^2 .

It is a super-4 number, since 4×201500212000⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25183527 + ... + 25191526.

Almost surely, 2^201500212000 is an apocalyptic number.

201500212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201500212000 is an abundant number, since it is smaller than the sum of its proper divisors (293585818712).

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

201500212000 is an equidigital number, since it uses as much as digits as its factorization.

201500212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50375078 (or 50375060 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 201500212000 its reverse (212005102), we get a palindrome (201712217102).

The spelling of 201500212000 in words is "two hundred one billion, five hundred million, two hundred twelve thousand".