20121166012225 has 12 divisors (see below), whose sum is σ = 24950341943100. Its totient is φ = 16096870817600.

The previous prime is 20121166012219. The next prime is 20121166012249. The reversal of 20121166012225 is 52221066112102.

It can be written as a sum of positive squares in 6 ways, for example, as 488255755009 + 19632910257216 = 698753^2 + 4430904^2 .

It is not a de Polignac number, because 20121166012225 - 2⁵ = 20121166012193 is a prime.

It is a super-2 number, since 2×20121166012225² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5744751 + ... + 8558299.

It is an arithmetic number, because the mean of its divisors is an integer number (2079195161925).

Almost surely, 2^{20121166012225} is an apocalyptic number.

20121166012225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20121166012225 is a deficient number, since it is larger than the sum of its proper divisors (4829175930875).

20121166012225 is a wasteful number, since it uses less digits than its factorization.

20121166012225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099620 (or 3099615 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 20121166012225 in words is "twenty trillion, one hundred twenty-one billion, one hundred sixty-six million, twelve thousand, two hundred twenty-five".