1066262116122 has 64 divisors (see below), whose sum is σ = 2708457849600. Its totient is φ = 304591129920.

The previous prime is 1066262116121. The next prime is 1066262116159. The reversal of 1066262116122 is 2216112626601.

1066262116122 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 621 + 1 + 6 + 1 + 22 = 666.

It is a super-2 number, since 2×1066262116122² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066262116121) 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 31 ways as a sum of consecutive naturals, for example, 1856904 + ... + 2362332.

It is an arithmetic number, because the mean of its divisors is an integer number (42319653900).

Almost surely, 2^{1066262116122} is an apocalyptic number.

1066262116122 is an abundant number, since it is smaller than the sum of its proper divisors (1642195733478).

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

1066262116122 is a wasteful number, since it uses less digits than its factorization.

1066262116122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511028 (or 511022 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1066262116122 in words is "one trillion, sixty-six billion, two hundred sixty-two million, one hundred sixteen thousand, one hundred twenty-two".