1101711167120 has 40 divisors (see below), whose sum is σ = 2565698475264. Its totient is φ = 439958443392.

The previous prime is 1101711167027. The next prime is 1101711167159. The reversal of 1101711167120 is 217611171011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×1101711167120⁴ (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11295254 + ... + 11392373.

Almost surely, 2^{1101711167120} is an apocalyptic number.

1101711167120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101711167120 is an abundant number, since it is smaller than the sum of its proper divisors (1463987308144).

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

1101711167120 is a wasteful number, since it uses less digits than its factorization.

1101711167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22688247 (or 22688241 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 29.

The spelling of 1101711167120 in words is "one trillion, one hundred one billion, seven hundred eleven million, one hundred sixty-seven thousand, one hundred twenty".