1122066171744 has 192 divisors, whose sum is σ = 3539374755840. Its totient is φ = 304310223360.

The previous prime is 1122066171739. The next prime is 1122066171763. The reversal of 1122066171744 is 4471716602211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1122066171696 and 1122066171705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1747647 + ... + 2301825.

It is an arithmetic number, because the mean of its divisors is an integer number (18434243520).

Almost surely, 2^{1122066171744} is an apocalyptic number.

1122066171744 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 1122066171744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769687377920).

1122066171744 is an abundant number, since it is smaller than the sum of its proper divisors (2417308584096).

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

1122066171744 is a wasteful number, since it uses less digits than its factorization.

1122066171744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554353 (or 554345 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 1122066171744 in words is "one trillion, one hundred twenty-two billion, sixty-six million, one hundred seventy-one thousand, seven hundred forty-four".