1127170356912 has 160 divisors (see below), whose sum is σ = 3243335746560. Its totient is φ = 374802785280.

The previous prime is 1127170356911. The next prime is 1127170357003. The reversal of 1127170356912 is 2196530717211.

1127170356912 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 1 + 70 + 3 + 569 + 12 = 666.

It is a super-2 number, since 2×1127170356912² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1127170356911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487740237 + ... + 487742547.

It is an arithmetic number, because the mean of its divisors is an integer number (20270848416).

Almost surely, 2^{1127170356912} is an apocalyptic number.

1127170356912 is a gapful number since it is divisible by the number (12) 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 1127170356912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621667873280).

1127170356912 is an abundant number, since it is smaller than the sum of its proper divisors (2116165389648).

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

1127170356912 is a wasteful number, since it uses less digits than its factorization.

1127170356912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 1127170356912 in words is "one trillion, one hundred twenty-seven billion, one hundred seventy million, three hundred fifty-six thousand, nine hundred twelve".