6170121216 has 220 divisors, whose sum is σ = 21059339488. Its totient is φ = 1762725888.

The previous prime is 6170121211. The next prime is 6170121281. The reversal of 6170121216 is 6121210716.

It is a happy number.

6170121216 is a `hidden beast` number, since 617 + 0 + 1 + 21 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6170121216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6170121211) 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 19 ways as a sum of consecutive naturals, for example, 575295 + ... + 585921.

Almost surely, 2^6170121216 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 6170121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529669744).

6170121216 is an abundant number, since it is smaller than the sum of its proper divisors (14889218272).

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

6170121216 is a wasteful number, since it uses less digits than its factorization.

6170121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10639 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 6170121216 is about 78550.1191342190. The cubic root of 6170121216 is about 1834.1347197370.

The spelling of 6170121216 in words is "six billion, one hundred seventy million, one hundred twenty-one thousand, two hundred sixteen".