212772440301 has 16 divisors (see below), whose sum is σ = 285374451648. Its totient is φ = 141010934400.

The previous prime is 212772440281. The next prime is 212772440303. The reversal of 212772440301 is 103044277212.

212772440301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212772440301 - 2⁷ = 212772440173 is a prime.

It is a super-2 number, since 2×212772440301² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212772440303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346371 + ... + 738591.

It is an arithmetic number, because the mean of its divisors is an integer number (17835903228).

Almost surely, 2^212772440301 is an apocalyptic number.

It is an amenable number.

212772440301 is a deficient number, since it is larger than the sum of its proper divisors (72602011347).

212772440301 is a wasteful number, since it uses less digits than its factorization.

212772440301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393292.

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 212772440301 in words is "two hundred twelve billion, seven hundred seventy-two million, four hundred forty thousand, three hundred one".