1116214126272 has 210 divisors, whose sum is σ = 3849022832292. Its totient is φ = 318918249216.

The previous prime is 1116214126249. The next prime is 1116214126273. The reversal of 1116214126272 is 2726214126111.

1116214126272 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 2 + 14 + 12 + 627 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1116214126273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1943118 + ... + 2451149.

Almost surely, 2^{1116214126272} is an apocalyptic number.

1116214126272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1116214126272 is an abundant number, since it is smaller than the sum of its proper divisors (2732808706020).

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

1116214126272 is an equidigital number, since it uses as much as digits as its factorization.

1116214126272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394305 (or 4394279 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 1116214126272 in words is "one trillion, one hundred sixteen billion, two hundred fourteen million, one hundred twenty-six thousand, two hundred seventy-two".