2000122862049 has 27 divisors (see below), whose sum is σ = 3128483569107. Its totient is φ = 1230810896016.

The previous prime is 2000122862029. The next prime is 2000122862057. The reversal of 2000122862049 is 9402682210002.

The square root of 2000122862049 is 1414257.

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

2000122862049 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 1 + 2 + 28 + 620 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 295876163025 + 1704246699024 = 543945^2 + 1305468^2 .

It is not a de Polignac number, because 2000122862049 - 2⁹ = 2000122861537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2000122862029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55137892 + ... + 55174154.

Almost surely, 2^{2000122862049} is an apocalyptic number.

2000122862049 is the 1414257-th square number.

2000122862049 is the 707129-th centered octagonal number.

It is an amenable number.

2000122862049 is a deficient number, since it is larger than the sum of its proper divisors (1128360707058).

2000122862049 is an frugal number, since it uses more digits than its factorization.

2000122862049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72558 (or 36279 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 2000122862049 by its sum of digits (36), we get a square (72004423033764 = 8485542²).

The spelling of 2000122862049 in words is "two trillion, one hundred twenty-two million, eight hundred sixty-two thousand, forty-nine".