9912121200001 has 8 divisors (see below), whose sum is σ = 10100413276200. Its totient is φ = 9723876195072.

The previous prime is 9912121199999. The next prime is 9912121200017. The reversal of 9912121200001 is 1000021212199.

It can be written as a sum of positive squares in 4 ways, for example, as 5140758120976 + 4771363079025 = 2267324^2 + 2184345^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9912121200001 - 2¹ = 9912121199999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9912121200071) 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 7 ways as a sum of consecutive naturals, for example, 11342520 + ... + 12185113.

It is an arithmetic number, because the mean of its divisors is an integer number (1262551659525).

Almost surely, 2^{9912121200001} is an apocalyptic number.

It is an amenable number.

9912121200001 is a deficient number, since it is larger than the sum of its proper divisors (188292076199).

9912121200001 is a wasteful number, since it uses less digits than its factorization.

9912121200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23535635.

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 9912121200001 in words is "nine trillion, nine hundred twelve billion, one hundred twenty-one million, two hundred thousand, one".