212123541 has 32 divisors (see below), whose sum is σ = 331361280. Its totient is φ = 118204416.

The previous prime is 212123521. The next prime is 212123557. The reversal of 212123541 is 145321212.

It is not a de Polignac number, because 212123541 - 2⁹ = 212123029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149845 + ... + 151253.

It is an arithmetic number, because the mean of its divisors is an integer number (10355040).

Almost surely, 2^212123541 is an apocalyptic number.

212123541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212123541 is a deficient number, since it is larger than the sum of its proper divisors (119237739).

212123541 is a wasteful number, since it uses less digits than its factorization.

212123541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593.

The product of its digits is 480, while the sum is 21.

The square root of 212123541 is about 14564.4615760419. The cubic root of 212123541 is about 596.3889974764.

Adding to 212123541 its reverse (145321212), we get a palindrome (357444753).

It can be divided in two parts, 21212 and 3541, that added together give a triangular number (24753 = T₂₂₂).

The spelling of 212123541 in words is "two hundred twelve million, one hundred twenty-three thousand, five hundred forty-one".