6120540000 has 360 divisors, whose sum is σ = 22361779440. Its totient is φ = 1586304000.

The previous prime is 6120539993. The next prime is 6120540029. The reversal of 6120540000 is 450216.

It is a happy number.

6120540000 is a `hidden beast` number, since 6 + 120 + 540 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×6120540000² = 74922019783200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 6659541 + ... + 6660459.

It is an arithmetic number, because the mean of its divisors is an integer number (62116054).

Almost surely, 2^6120540000 is an apocalyptic number.

6120540000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6120540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11180889720).

6120540000 is an abundant number, since it is smaller than the sum of its proper divisors (16241239440).

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

6120540000 is a wasteful number, since it uses less digits than its factorization.

6120540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6120540000 is about 78233.8801287524. The cubic root of 6120540000 is about 1829.2086518441.

Adding to 6120540000 its reverse (450216), we get a palindrome (6120990216).

The spelling of 6120540000 in words is "six billion, one hundred twenty million, five hundred forty thousand".