3121821648001 has 8 divisors (see below), whose sum is σ = 3568637069504. Its totient is φ = 2675216451600.

The previous prime is 3121821647981. The next prime is 3121821648037. The reversal of 3121821648001 is 1008461281213.

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

It is not a de Polignac number, because 3121821648001 - 2¹³ = 3121821639809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3121821648601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52524450 + ... + 52583851.

It is an arithmetic number, because the mean of its divisors is an integer number (446079633688).

Almost surely, 2^{3121821648001} is an apocalyptic number.

It is an amenable number.

3121821648001 is a deficient number, since it is larger than the sum of its proper divisors (446815421503).

3121821648001 is a wasteful number, since it uses less digits than its factorization.

3121821648001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105112551.

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 3121821648001 in words is "three trillion, one hundred twenty-one billion, eight hundred twenty-one million, six hundred forty-eight thousand, one".