15120141563241 has 56 divisors (see below), whose sum is σ = 26633101130496. Its totient is φ = 8458820396640.

The previous prime is 15120141563231. The next prime is 15120141563249. The reversal of 15120141563241 is 14236514102151.

15120141563241 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 0 + 1 + 4 + 15 + 632 + 4 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-15120141563241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 15120141563196 and 15120141563205.

It is not an unprimeable number, because it can be changed into a prime (15120141563249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 72416505 + ... + 72624998.

It is an arithmetic number, because the mean of its divisors is an integer number (475591091616).

Almost surely, 2^{15120141563241} is an apocalyptic number.

15120141563241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

15120141563241 is a deficient number, since it is larger than the sum of its proper divisors (11512959567255).

15120141563241 is a wasteful number, since it uses less digits than its factorization.

15120141563241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145041545 (or 145041530 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 15120141563241 its reverse (14236514102151), we get a palindrome (29356655665392).

The spelling of 15120141563241 in words is "fifteen trillion, one hundred twenty billion, one hundred forty-one million, five hundred sixty-three thousand, two hundred forty-one".