20121142401 has 12 divisors (see below), whose sum is σ = 29066050260. Its totient is φ = 13413089760.

The previous prime is 20121142399. The next prime is 20121142403. The reversal of 20121142401 is 10424112102.

20121142401 is a `hidden beast` number, since 2 + 0 + 121 + 142 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (20121142399) and next prime (20121142403).

It can be written as a sum of positive squares in 2 ways, for example, as 2556801 + 20118585600 = 1599^2 + 141840^2 .

It is not a de Polignac number, because 20121142401 - 2¹ = 20121142399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20121142403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55135 + ... + 208043.

It is an arithmetic number, because the mean of its divisors is an integer number (2422170855).

Almost surely, 2^20121142401 is an apocalyptic number.

It is an amenable number.

20121142401 is a deficient number, since it is larger than the sum of its proper divisors (8944907859).

20121142401 is a wasteful number, since it uses less digits than its factorization.

20121142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167536 (or 167533 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20121142401 its reverse (10424112102), we get a palindrome (30545254503).

The spelling of 20121142401 in words is "twenty billion, one hundred twenty-one million, one hundred forty-two thousand, four hundred one".