6011121216 has 112 divisors (see below), whose sum is σ = 16469733888. Its totient is φ = 1932902400.

The previous prime is 6011121199. The next prime is 6011121223. The reversal of 6011121216 is 6121211106.

It is a super-2 number, since 2×6011121216² = 72267156546890637312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6011121192 and 6011121201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2099626 + ... + 2102486.

Almost surely, 2^6011121216 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 6011121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234866944).

6011121216 is an abundant number, since it is smaller than the sum of its proper divisors (10458612672).

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

6011121216 is a wasteful number, since it uses less digits than its factorization.

6011121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 6011121216 is about 77531.4208305252. The cubic root of 6011121216 is about 1818.2425993693.

The spelling of 6011121216 in words is "six billion, eleven million, one hundred twenty-one thousand, two hundred sixteen".