2112136435305 has 48 divisors (see below), whose sum is σ = 3942809816400. Its totient is φ = 1039780099584.

The previous prime is 2112136435303. The next prime is 2112136435309. The reversal of 2112136435305 is 5035346312112.

2112136435305 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 3 + 643 + 5 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 339957797481 + 1772178637824 = 583059^2 + 1331232^2 .

It is not a de Polignac number, because 2112136435305 - 2¹ = 2112136435303 is a prime.

It is a super-2 number, since 2×2112136435305² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112136435305.

It is not an unprimeable number, because it can be changed into a prime (2112136435303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19337707 + ... + 19446623.

It is an arithmetic number, because the mean of its divisors is an integer number (82141871175).

Almost surely, 2^{2112136435305} is an apocalyptic number.

It is an amenable number.

2112136435305 is a deficient number, since it is larger than the sum of its proper divisors (1830673381095).

2112136435305 is a wasteful number, since it uses less digits than its factorization.

2112136435305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142090 (or 142087 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2112136435305 in words is "two trillion, one hundred twelve billion, one hundred thirty-six million, four hundred thirty-five thousand, three hundred five".