212125140 has 72 divisors (see below), whose sum is σ = 665650440. Its totient is φ = 54614784.

The previous prime is 212125127. The next prime is 212125141. The reversal of 212125140 is 41521212.

212125140 is digitally balanced in base 3, 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 248004 + 211877136 = 498^2 + 14556^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212125141) 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 23 ways as a sum of consecutive naturals, for example, 15099 + ... + 25538.

It is an arithmetic number, because the mean of its divisors is an integer number (9245145).

Almost surely, 2^212125140 is an apocalyptic number.

212125140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212125140 is an abundant number, since it is smaller than the sum of its proper divisors (453525300).

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

212125140 is a wasteful number, since it uses less digits than its factorization.

212125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40681 (or 40676 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212125140 is about 14564.5164698317. The cubic root of 212125140 is about 596.3904960113.

Adding to 212125140 its reverse (41521212), we get a palindrome (253646352).

It can be divided in two parts, 2121 and 25140, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 212125140 in words is "two hundred twelve million, one hundred twenty-five thousand, one hundred forty".