212514041201 has 48 divisors (see below), whose sum is σ = 290229495552. Its totient is φ = 153299059200.

The previous prime is 212514041171. The next prime is 212514041213. The reversal of 212514041201 is 102140415212.

It is not a de Polignac number, because 212514041201 - 2¹⁴ = 212514024817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212514041291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368840 + ... + 749046.

It is an arithmetic number, because the mean of its divisors is an integer number (6046447824).

Almost surely, 2^212514041201 is an apocalyptic number.

It is an amenable number.

212514041201 is a deficient number, since it is larger than the sum of its proper divisors (77715454351).

212514041201 is a wasteful number, since it uses less digits than its factorization.

212514041201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380310 (or 380303 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 212514041201 its reverse (102140415212), we get a palindrome (314654456413).

The spelling of 212514041201 in words is "two hundred twelve billion, five hundred fourteen million, forty-one thousand, two hundred one".