212131412241 has 64 divisors (see below), whose sum is σ = 335282208768. Its totient is φ = 116799547968.

The previous prime is 212131412237. The next prime is 212131412327. The reversal of 212131412241 is 142214131212.

It is not a de Polignac number, because 212131412241 - 2² = 212131412237 is a prime.

It is a super-2 number, since 2×212131412241² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212131412221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17208106 + ... + 17220428.

It is an arithmetic number, because the mean of its divisors is an integer number (5238784512).

Almost surely, 2^212131412241 is an apocalyptic number.

212131412241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212131412241 is a deficient number, since it is larger than the sum of its proper divisors (123150796527).

212131412241 is a wasteful number, since it uses less digits than its factorization.

212131412241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12650.

The product of its digits is 768, while the sum is 24.

Adding to 212131412241 its reverse (142214131212), we get a palindrome (354345543453).

The spelling of 212131412241 in words is "two hundred twelve billion, one hundred thirty-one million, four hundred twelve thousand, two hundred forty-one".