15005141120 has 256 divisors, whose sum is σ = 40323847680. Its totient is φ = 5309399040.

The previous prime is 15005141119. The next prime is 15005141161. The reversal of 15005141120 is 2114150051.

It is a super-2 number, since 2×15005141120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 15005141092 and 15005141101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15264149 + ... + 15265131.

It is an arithmetic number, because the mean of its divisors is an integer number (157515030).

Almost surely, 2^15005141120 is an apocalyptic number.

15005141120 is a gapful number since it is divisible by the number (10) 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 15005141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20161923840).

15005141120 is an abundant number, since it is smaller than the sum of its proper divisors (25318706560).

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

15005141120 is a wasteful number, since it uses less digits than its factorization.

15005141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 15005141120 its reverse (2114150051), we get a palindrome (17119291171).

The spelling of 15005141120 in words is "fifteen billion, five million, one hundred forty-one thousand, one hundred twenty".