6126010000 has 100 divisors (see below), whose sum is σ = 16180308144. Its totient is φ = 2227600000.

The previous prime is 6126009977. The next prime is 6126010019. The reversal of 6126010000 is 106216.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 82155 + ... + 137845.

Almost surely, 2^6126010000 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 6126010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090154072).

6126010000 is an abundant number, since it is smaller than the sum of its proper divisors (10054298144).

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

6126010000 is a wasteful number, since it uses less digits than its factorization.

6126010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55730 (or 55709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 6126010000 is about 78268.8315998137. The cubic root of 6126010000 is about 1829.7534181581.

Adding to 6126010000 its reverse (106216), we get a palindrome (6126116216).

The spelling of 6126010000 in words is "six billion, one hundred twenty-six million, ten thousand".