20121768 has 48 divisors (see below), whose sum is σ = 55535220. Its totient is φ = 6579456.

The previous prime is 20121767. The next prime is 20121769. The reversal of 20121768 is 86712102.

It is an interprime number because it is at equal distance from previous prime (20121767) and next prime (20121769).

It can be written as a sum of positive squares in 2 ways, for example, as 19873764 + 248004 = 4458^2 + 498^2 .

It is not an unprimeable number, because it can be changed into a prime (20121763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1180 + ... + 6452.

Almost surely, 2^20121768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27767610).

20121768 is an abundant number, since it is smaller than the sum of its proper divisors (35413452).

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

20121768 is a wasteful number, since it uses less digits than its factorization.

20121768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 20121768 is about 4485.7293721311. The cubic root of 20121768 is about 271.9915294363.

The spelling of 20121768 in words is "twenty million, one hundred twenty-one thousand, seven hundred sixty-eight".