10120301414244 has 216 divisors, whose sum is σ = 30894258540600. Its totient is φ = 2781868078080.

The previous prime is 10120301414231. The next prime is 10120301414261. The reversal of 10120301414244 is 44241410302101.

10120301414244 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 3 + 0 + 1 + 414 + 244 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4604191564644 + 5516109849600 = 2145738^2 + 2348640^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14022822 + ... + 14726850.

It is an arithmetic number, because the mean of its divisors is an integer number (143028974725).

Almost surely, 2^{10120301414244} is an apocalyptic number.

10120301414244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120301414244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447129270300).

10120301414244 is an abundant number, since it is smaller than the sum of its proper divisors (20773957126356).

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

10120301414244 is a wasteful number, since it uses less digits than its factorization.

10120301414244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704363 (or 704351 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10120301414244 its reverse (44241410302101), we get a palindrome (54361711716345).

The spelling of 10120301414244 in words is "ten trillion, one hundred twenty billion, three hundred one million, four hundred fourteen thousand, two hundred forty-four".