1171095045120 has 3960 divisors, whose sum is σ = 5952667615488. Its totient is φ = 217379635200.

The previous prime is 1171095045083. The next prime is 1171095045143. The reversal of 1171095045120 is 215405901711.

1171095045120 is a `hidden beast` number, since 1 + 17 + 10 + 9 + 504 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a super-2 number, since 2×1171095045120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 37777259505 + ... + 37777259535.

Almost surely, 2^{1171095045120} is an apocalyptic number.

1171095045120 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 1171095045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976333807744).

1171095045120 is an abundant number, since it is smaller than the sum of its proper divisors (4781572570368).

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

1171095045120 is a wasteful number, since it uses less digits than its factorization.

1171095045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 1171095045120 in words is "one trillion, one hundred seventy-one billion, ninety-five million, forty-five thousand, one hundred twenty".