6121288776096 has 144 divisors (see below), whose sum is σ = 18794642728680. Its totient is φ = 1878631188480.

The previous prime is 6121288776061. The next prime is 6121288776121. The reversal of 6121288776096 is 6906778821216.

6121288776096 is a `hidden beast` number, since 6 + 1 + 2 + 12 + 8 + 8 + 7 + 7 + 609 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2926275524496 + 3195013251600 = 1710636^2 + 1787460^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645075 + ... + 3557906.

Almost surely, 2^{6121288776096} 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 6121288776096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9397321364340).

6121288776096 is an abundant number, since it is smaller than the sum of its proper divisors (12673353952584).

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

6121288776096 is a wasteful number, since it uses less digits than its factorization.

6121288776096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203399 (or 4203388 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 6121288776096 in words is "six trillion, one hundred twenty-one billion, two hundred eighty-eight million, seven hundred seventy-six thousand, ninety-six".