212141234000 has 40 divisors (see below), whose sum is σ = 512957508648. Its totient is φ = 84856492800.

The previous prime is 212141233991. The next prime is 212141234009. The reversal of 212141234000 is 432141212.

It is an interprime number because it is at equal distance from previous prime (212141233991) and next prime (212141234009).

It can be written as a sum of positive squares in 4 ways, for example, as 5087112976 + 207054121024 = 71324^2 + 455032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212141234009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53033309 + ... + 53037308.

Almost surely, 2^212141234000 is an apocalyptic number.

212141234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212141234000 is an abundant number, since it is smaller than the sum of its proper divisors (300816274648).

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

212141234000 is a wasteful number, since it uses less digits than its factorization.

212141234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106070640 (or 106070624 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212141234000 its reverse (432141212), we get a palindrome (212573375212).

The spelling of 212141234000 in words is "two hundred twelve billion, one hundred forty-one million, two hundred thirty-four thousand".