10193127120 has 360 divisors, whose sum is σ = 39270486528. Its totient is φ = 2363159040.

The previous prime is 10193127071. The next prime is 10193127187. The reversal of 10193127120 is 2172139101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2001217 + ... + 2006303.

Almost surely, 2^10193127120 is an apocalyptic number.

10193127120 is a gapful number since it is divisible by the number (10) 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 10193127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19635243264).

10193127120 is an abundant number, since it is smaller than the sum of its proper divisors (29077359408).

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

10193127120 is a wasteful number, since it uses less digits than its factorization.

10193127120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 10193127120 in words is "ten billion, one hundred ninety-three million, one hundred twenty-seven thousand, one hundred twenty".