7005128121600 has 648 divisors, whose sum is σ = 27261473904000. Its totient is φ = 1579222794240.

The previous prime is 7005128121529. The next prime is 7005128121613. The reversal of 7005128121600 is 61218215007.

It is a super-2 number, since 2×7005128121600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 68627401 + ... + 68729399.

Almost surely, 2^{7005128121600} is an apocalyptic number.

7005128121600 is a gapful number since it is divisible by the number (70) 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 7005128121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13630736952000).

7005128121600 is an abundant number, since it is smaller than the sum of its proper divisors (20256345782400).

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

7005128121600 is a wasteful number, since it uses less digits than its factorization.

7005128121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102115 (or 102089 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 7005128121600 in words is "seven trillion, five billion, one hundred twenty-eight million, one hundred twenty-one thousand, six hundred".