6121441216 has 56 divisors (see below), whose sum is σ = 13320485424. Its totient is φ = 2767994880.

The previous prime is 6121441213. The next prime is 6121441231.

6121441216 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6121441213) 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, 113346 + ... + 158398.

Almost surely, 2^6121441216 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 6121441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660242712).

6121441216 is an abundant number, since it is smaller than the sum of its proper divisors (7199044208).

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

6121441216 is a wasteful number, since it uses less digits than its factorization.

6121441216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45269 (or 45259 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 6121441216 is about 78239.6396719719. The cubic root of 6121441216 is about 1829.2984277571.

The spelling of 6121441216 in words is "six billion, one hundred twenty-one million, four hundred forty-one thousand, two hundred sixteen".