10305141125220 has 72 divisors (see below), whose sum is σ = 32618011922496. Its totient is φ = 2628557735232.

The previous prime is 10305141125203. The next prime is 10305141125221. The reversal of 10305141125220 is 2252114150301.

It is a happy number.

10305141125220 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 1 + 411 + 25 + 220 = 666.

It is a super-2 number, since 2×10305141125220² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10305141125221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244578122 + ... + 1244586401.

It is an arithmetic number, because the mean of its divisors is an integer number (453027943368).

Almost surely, 2^{10305141125220} is an apocalyptic number.

10305141125220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305141125220 is an abundant number, since it is smaller than the sum of its proper divisors (22312870797276).

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

10305141125220 is a wasteful number, since it uses less digits than its factorization.

10305141125220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489164561 (or 2489164556 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10305141125220 its reverse (2252114150301), we get a palindrome (12557255275521).

The spelling of 10305141125220 in words is "ten trillion, three hundred five billion, one hundred forty-one million, one hundred twenty-five thousand, two hundred twenty".