20120414301 has 12 divisors (see below), whose sum is σ = 31298422428. Its totient is φ = 12381793344.

The previous prime is 20120414291. The next prime is 20120414309. The reversal of 20120414301 is 10341402102.

20120414301 is a `hidden beast` number, since 201 + 20 + 414 + 30 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4800411225 + 15320003076 = 69285^2 + 123774^2 .

It is not a de Polignac number, because 20120414301 - 2¹⁴ = 20120397917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120414309) 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 11 ways as a sum of consecutive naturals, for example, 85984560 + ... + 85984793.

It is an arithmetic number, because the mean of its divisors is an integer number (2608201869).

Almost surely, 2^20120414301 is an apocalyptic number.

It is an amenable number.

20120414301 is a deficient number, since it is larger than the sum of its proper divisors (11178008127).

20120414301 is a wasteful number, since it uses less digits than its factorization.

20120414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171969372 (or 171969369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20120414301 its reverse (10341402102), we get a palindrome (30461816403).

The spelling of 20120414301 in words is "twenty billion, one hundred twenty million, four hundred fourteen thousand, three hundred one".