6011287120 has 40 divisors (see below), whose sum is σ = 13987665000. Its totient is φ = 2402549760.

The previous prime is 6011287109. The next prime is 6011287187. The reversal of 6011287120 is 217821106.

It can be written as a sum of positive squares in 4 ways, for example, as 1732557376 + 4278729744 = 41624^2 + 65412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×6011287120² = 72271145678155788800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69840 + ... + 130000.

It is an arithmetic number, because the mean of its divisors is an integer number (349691625).

Almost surely, 2^6011287120 is an apocalyptic number.

It is an amenable number.

6011287120 is an abundant number, since it is smaller than the sum of its proper divisors (7976377880).

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

6011287120 is a wasteful number, since it uses less digits than its factorization.

6011287120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61423 (or 61417 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 6011287120 is about 77532.4907377546. The cubic root of 6011287120 is about 1818.2593267503.

The spelling of 6011287120 in words is "six billion, eleven million, two hundred eighty-seven thousand, one hundred twenty".