6121838381216 has 72 divisors (see below), whose sum is σ = 12749076315360. Its totient is φ = 2893210275456.

The previous prime is 6121838381213. The next prime is 6121838381237.

6121838381216 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6121838381213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4467755 + ... + 5674901.

It is an arithmetic number, because the mean of its divisors is an integer number (177070504380).

Almost surely, 2^{6121838381216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6121838381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374538157680).

6121838381216 is an abundant number, since it is smaller than the sum of its proper divisors (6627237934144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6121838381216 is a wasteful number, since it uses less digits than its factorization.

6121838381216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207634 (or 1207607 counting only the distinct ones).

The product of its digits is 663552, while the sum is 50.

The spelling of 6121838381216 in words is "six trillion, one hundred twenty-one billion, eight hundred thirty-eight million, three hundred eighty-one thousand, two hundred sixteen".