12816400461821 has 8 divisors (see below), whose sum is σ = 14017470012000. Its totient is φ = 11621321284240.

The previous prime is 12816400461811. The next prime is 12816400461859.

12816400461821 is nontrivially palindromic in base 10.

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 12816400461821 - 2⁶ = 12816400461757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12816400461811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1497588671 + ... + 1497597228.

It is an arithmetic number, because the mean of its divisors is an integer number (1752183751500).

Almost surely, 2^{12816400461821} is an apocalyptic number.

12816400461821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12816400461821 is a deficient number, since it is larger than the sum of its proper divisors (1201069550179).

12816400461821 is a wasteful number, since it uses less digits than its factorization.

12816400461821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995186299.

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 12816400461821 in words is "twelve trillion, eight hundred sixteen billion, four hundred million, four hundred sixty-one thousand, eight hundred twenty-one".