7129116303120 has 800 divisors, whose sum is σ = 28724512227840. Its totient is φ = 1604996259840.

The previous prime is 7129116303109. The next prime is 7129116303137. The reversal of 7129116303120 is 213036119217.

7129116303120 is a `hidden beast` number, since 7 + 1 + 2 + 9 + 1 + 1 + 630 + 3 + 12 + 0 = 666.

It is a super-2 number, since 2×7129116303120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4572876901 + ... + 4572878459.

Almost surely, 2^{7129116303120} is an apocalyptic number.

7129116303120 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 7129116303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362256113920).

7129116303120 is an abundant number, since it is smaller than the sum of its proper divisors (21595395924720).

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

7129116303120 is a wasteful number, since it uses less digits than its factorization.

7129116303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 7129116303120 in words is "seven trillion, one hundred twenty-nine billion, one hundred sixteen million, three hundred three thousand, one hundred twenty".