2812292106121 has 9 divisors (see below), whose sum is σ = 2816640541333. Its totient is φ = 2807950381600.

The previous prime is 2812292106119. The next prime is 2812292106131. The reversal of 2812292106121 is 1216012922182.

The square root of 2812292106121 is 1676989.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 447278726521 + 2365013379600 = 668789^2 + 1537860^2 .

It is not a de Polignac number, because 2812292106121 - 2¹ = 2812292106119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2812292106131) 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 8 ways as a sum of consecutive naturals, for example, 2161638171 + ... + 2161639471.

Almost surely, 2^{2812292106121} is an apocalyptic number.

2812292106121 is the 1676989-th square number.

2812292106121 is the 838495-th centered octagonal number.

It is an amenable number.

2812292106121 is a deficient number, since it is larger than the sum of its proper divisors (4348435212).

2812292106121 is an frugal number, since it uses more digits than its factorization.

2812292106121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 2812292106121 in words is "two trillion, eight hundred twelve billion, two hundred ninety-two million, one hundred six thousand, one hundred twenty-one".