1171123269120 has 360 divisors, whose sum is σ = 4718126339784. Its totient is φ = 267685060608.

The previous prime is 1171123269103. The next prime is 1171123269149. The reversal of 1171123269120 is 219623211711.

It is a happy number.

1171123269120 is a `hidden beast` number, since 117 + 112 + 326 + 91 + 20 = 666.

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

It is a super-2 number, since 2×1171123269120² (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 35 ways as a sum of consecutive naturals, for example, 610287 + ... + 1647633.

Almost surely, 2^{1171123269120} is an apocalyptic number.

1171123269120 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 1171123269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359063169892).

1171123269120 is an abundant number, since it is smaller than the sum of its proper divisors (3547003070664).

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

1171123269120 is a wasteful number, since it uses less digits than its factorization.

1171123269120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037390 (or 1037364 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1171123269120 in words is "one trillion, one hundred seventy-one billion, one hundred twenty-three million, two hundred sixty-nine thousand, one hundred twenty".