1024121113005 has 64 divisors (see below), whose sum is σ = 1702014778368. Its totient is φ = 525465845760.

The previous prime is 1024121112991. The next prime is 1024121113007. The reversal of 1024121113005 is 5003111214201.

It is not a de Polignac number, because 1024121113005 - 2⁶ = 1024121112941 is a prime.

It is a super-4 number, since 4×1024121113005⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024121113007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72972469 + ... + 72986501.

It is an arithmetic number, because the mean of its divisors is an integer number (26593980912).

Almost surely, 2^{1024121113005} is an apocalyptic number.

1024121113005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1024121113005 is a deficient number, since it is larger than the sum of its proper divisors (677893665363).

1024121113005 is a wasteful number, since it uses less digits than its factorization.

1024121113005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15846.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 1024121113005 its reverse (5003111214201), we get a palindrome (6027232327206).

The spelling of 1024121113005 in words is "one trillion, twenty-four billion, one hundred twenty-one million, one hundred thirteen thousand, five".