212420312033953 has 2 divisors, whose sum is σ = 212420312033954. Its totient is φ = 212420312033952.

The previous prime is 212420312033927. The next prime is 212420312034041. The reversal of 212420312033953 is 359330213024212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164459797859344 + 47960514174609 = 12824188^2 + 6925353^2 .

It is a cyclic number.

It is not a de Polignac number, because 212420312033953 - 2¹⁷ = 212420311902881 is a prime.

It is not a weakly prime, because it can be changed into another prime (212420312033053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106210156016976 + 106210156016977.

It is an arithmetic number, because the mean of its divisors is an integer number (106210156016977).

Almost surely, 2^{212420312033953} is an apocalyptic number.

It is an amenable number.

212420312033953 is a deficient number, since it is larger than the sum of its proper divisors (1).

212420312033953 is an equidigital number, since it uses as much as digits as its factorization.

212420312033953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 212420312033953 in words is "two hundred twelve trillion, four hundred twenty billion, three hundred twelve million, thirty-three thousand, nine hundred fifty-three".