11206662101172 has 72 divisors (see below), whose sum is σ = 29995212429000. Its totient is φ = 3515708786688.

The previous prime is 11206662101143. The next prime is 11206662101177. The reversal of 11206662101172 is 27110126660211.

It can be written as a sum of positive squares in 4 ways, for example, as 2229903077796 + 8976759023376 = 1493286^2 + 2996124^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11206662101177) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21250704 + ... + 21771672.

It is an arithmetic number, because the mean of its divisors is an integer number (416600172625).

Almost surely, 2^{11206662101172} is an apocalyptic number.

11206662101172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11206662101172 is an abundant number, since it is smaller than the sum of its proper divisors (18788550327828).

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

11206662101172 is a wasteful number, since it uses less digits than its factorization.

11206662101172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556145 (or 556140 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 11206662101172 its reverse (27110126660211), we get a palindrome (38316788761383).

The spelling of 11206662101172 in words is "eleven trillion, two hundred six billion, six hundred sixty-two million, one hundred one thousand, one hundred seventy-two".