2212661305251 has 32 divisors (see below), whose sum is σ = 3354619107840. Its totient is φ = 1440644032800.

The previous prime is 2212661305229. The next prime is 2212661305279. The reversal of 2212661305251 is 1525031662122.

2212661305251 is a `hidden beast` number, since 2 + 2 + 12 + 6 + 613 + 0 + 5 + 25 + 1 = 666.

It is not a de Polignac number, because 2212661305251 - 2⁵ = 2212661305219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2212661305201) 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 31 ways as a sum of consecutive naturals, for example, 10942081 + ... + 11142461.

It is an arithmetic number, because the mean of its divisors is an integer number (104831847120).

Almost surely, 2^{2212661305251} is an apocalyptic number.

2212661305251 is a deficient number, since it is larger than the sum of its proper divisors (1141957802589).

2212661305251 is a wasteful number, since it uses less digits than its factorization.

2212661305251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209944 (or 209938 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 2212661305251 its reverse (1525031662122), we get a palindrome (3737692967373).

The spelling of 2212661305251 in words is "two trillion, two hundred twelve billion, six hundred sixty-one million, three hundred five thousand, two hundred fifty-one".