1120271079312 has 900 divisors, whose sum is σ = 4280464032768. Its totient is φ = 281533190400.

The previous prime is 1120271079299. The next prime is 1120271079329. The reversal of 1120271079312 is 2139701720211.

1120271079312 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 271 + 0 + 79 + 312 = 666.

It is a super-2 number, since 2×1120271079312² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 238201153 + ... + 238205855.

Almost surely, 2^{1120271079312} is an apocalyptic number.

1120271079312 is a gapful number since it is divisible by the number (12) 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 1120271079312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140232016384).

1120271079312 is an abundant number, since it is smaller than the sum of its proper divisors (3160192953456).

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

1120271079312 is a wasteful number, since it uses less digits than its factorization.

1120271079312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Adding to 1120271079312 its reverse (2139701720211), we get a palindrome (3259972799523).

The spelling of 1120271079312 in words is "one trillion, one hundred twenty billion, two hundred seventy-one million, seventy-nine thousand, three hundred twelve".