11127117000 has 64 divisors (see below), whose sum is σ = 34716614400. Its totient is φ = 2967230400.

The previous prime is 11127116971. The next prime is 11127117007. The reversal of 11127117000 is 71172111.

It is not an unprimeable number, because it can be changed into a prime (11127117007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1851520 + ... + 1857519.

It is an arithmetic number, because the mean of its divisors is an integer number (542447100).

Almost surely, 2^11127117000 is an apocalyptic number.

11127117000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11127117000 is an abundant number, since it is smaller than the sum of its proper divisors (23589497400).

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

11127117000 is a wasteful number, since it uses less digits than its factorization.

11127117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709063 (or 3709049 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 21.

Adding to 11127117000 its reverse (71172111), we get a palindrome (11198289111).

It can be divided in two parts, 111271 and 17000, that added together give a triangular number (128271 = T₅₀₆).

The spelling of 11127117000 in words is "eleven billion, one hundred twenty-seven million, one hundred seventeen thousand".