1284312141 has 48 divisors (see below), whose sum is σ = 2275737984. Its totient is φ = 681219072.

The previous prime is 1284312121. The next prime is 1284312151. The reversal of 1284312141 is 1412134821.

1284312141 is a `hidden beast` number, since 12 + 8 + 431 + 214 + 1 = 666.

It is not a de Polignac number, because 1284312141 - 2¹⁰ = 1284311117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284312121) 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 47 ways as a sum of consecutive naturals, for example, 69970 + ... + 86396.

It is an arithmetic number, because the mean of its divisors is an integer number (47411208).

Almost surely, 2^1284312141 is an apocalyptic number.

It is an amenable number.

1284312141 is a deficient number, since it is larger than the sum of its proper divisors (991425843).

1284312141 is a wasteful number, since it uses less digits than its factorization.

1284312141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16530 (or 16527 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1284312141 is about 35837.3009725900. The cubic root of 1284312141 is about 1086.9849457969.

Adding to 1284312141 its reverse (1412134821), we get a palindrome (2696446962).

The spelling of 1284312141 in words is "one billion, two hundred eighty-four million, three hundred twelve thousand, one hundred forty-one".