1120271312160 has 3072 divisors, whose sum is σ = 5706215424000. Its totient is φ = 201587097600.

The previous prime is 1120271312137. The next prime is 1120271312161. The reversal of 1120271312160 is 612131720211.

1120271312160 is a `hidden beast` number, since 1 + 1 + 20 + 271 + 312 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1120271312161) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3602158405 + ... + 3602158715.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492000).

Almost surely, 2^{1120271312160} is an apocalyptic number.

1120271312160 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 1120271312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853107712000).

1120271312160 is an abundant number, since it is smaller than the sum of its proper divisors (4585944111840).

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

1120271312160 is a wasteful number, since it uses less digits than its factorization.

1120271312160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 1120271312160 in words is "one trillion, one hundred twenty billion, two hundred seventy-one million, three hundred twelve thousand, one hundred sixty".