212314642261 has 16 divisors (see below), whose sum is σ = 215764686000. Its totient is φ = 208879976448.

The previous prime is 212314642249. The next prime is 212314642273. The reversal of 212314642261 is 162246413212.

It is an interprime number because it is at equal distance from previous prime (212314642249) and next prime (212314642273).

It can be written as a sum of positive squares in 8 ways, for example, as 6321204036 + 205993438225 = 79506^2 + 453865^2 .

It is a cyclic number.

It is not a de Polignac number, because 212314642261 - 2²⁵ = 212281087829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212314642961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69632665 + ... + 69635713.

It is an arithmetic number, because the mean of its divisors is an integer number (13485292875).

Almost surely, 2^212314642261 is an apocalyptic number.

It is an amenable number.

212314642261 is a deficient number, since it is larger than the sum of its proper divisors (3450043739).

212314642261 is a wasteful number, since it uses less digits than its factorization.

212314642261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208.

The product of its digits is 27648, while the sum is 34.

The spelling of 212314642261 in words is "two hundred twelve billion, three hundred fourteen million, six hundred forty-two thousand, two hundred sixty-one".