1122691427424 has 288 divisors, whose sum is σ = 3944596481280. Its totient is φ = 295672882176.

The previous prime is 1122691427393. The next prime is 1122691427437. The reversal of 1122691427424 is 4247241962211.

1122691427424 is a `hidden beast` number, since 1 + 1 + 22 + 69 + 142 + 7 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1122691427424² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1122691427424.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1021167 + ... + 1813329.

It is an arithmetic number, because the mean of its divisors is an integer number (13696515560).

Almost surely, 2^{1122691427424} is an apocalyptic number.

1122691427424 is a gapful number since it is divisible by the number (14) 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 1122691427424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972298240640).

1122691427424 is an abundant number, since it is smaller than the sum of its proper divisors (2821905053856).

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

1122691427424 is a wasteful number, since it uses less digits than its factorization.

1122691427424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792242 (or 792231 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 1122691427424 in words is "one trillion, one hundred twenty-two billion, six hundred ninety-one million, four hundred twenty-seven thousand, four hundred twenty-four".