212120142 has 64 divisors (see below), whose sum is σ = 492791040. Its totient is φ = 60307200.

The previous prime is 212120141. The next prime is 212120143. The reversal of 212120142 is 241021212.

It is an interprime number because it is at equal distance from previous prime (212120141) and next prime (212120143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120141) 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 31 ways as a sum of consecutive naturals, for example, 59017 + ... + 62507.

It is an arithmetic number, because the mean of its divisors is an integer number (7699860).

Almost surely, 2^212120142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246395520).

212120142 is an abundant number, since it is smaller than the sum of its proper divisors (280670898).

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

212120142 is a wasteful number, since it uses less digits than its factorization.

212120142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212120142 is about 14564.3448874297. The cubic root of 212120142 is about 596.3858120103.

Adding to 212120142 its reverse (241021212), we get a palindrome (453141354).

The spelling of 212120142 in words is "two hundred twelve million, one hundred twenty thousand, one hundred forty-two".