6101118720 has 144 divisors (see below), whose sum is σ = 21650620320. Its totient is φ = 1626955776.

The previous prime is 6101118719. The next prime is 6101118721. The reversal of 6101118720 is 278111016.

6101118720 is a `hidden beast` number, since 610 + 11 + 18 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6101118719) and next prime (6101118721).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6101118721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53709 + ... + 122828.

It is an arithmetic number, because the mean of its divisors is an integer number (150351530).

Almost surely, 2^6101118720 is an apocalyptic number.

6101118720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6101118720 is an abundant number, since it is smaller than the sum of its proper divisors (15549501600).

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

6101118720 is a wasteful number, since it uses less digits than its factorization.

6101118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176567 (or 176547 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 6101118720 is about 78109.6583016467. The cubic root of 6101118720 is about 1827.2718284286.

Adding to 6101118720 its reverse (278111016), we get a palindrome (6379229736).

The spelling of 6101118720 in words is "six billion, one hundred one million, one hundred eighteen thousand, seven hundred twenty".