11505124125 has 192 divisors, whose sum is σ = 23437320192. Its totient is φ = 5382000000.

The previous prime is 11505124123. The next prime is 11505124129. The reversal of 11505124125 is 52142150511.

It is a happy number.

11505124125 is a `hidden beast` number, since 11 + 505 + 1 + 24 + 125 = 666.

It is not a de Polignac number, because 11505124125 - 2¹ = 11505124123 is a prime.

It is a super-2 number, since 2×11505124125² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11505124121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76192800 + ... + 76192950.

It is an arithmetic number, because the mean of its divisors is an integer number (122069376).

Almost surely, 2^11505124125 is an apocalyptic number.

11505124125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11505124125 is an abundant number, since it is smaller than the sum of its proper divisors (11932196067).

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

11505124125 is a wasteful number, since it uses less digits than its factorization.

11505124125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 11505124125 its reverse (52142150511), we get a palindrome (63647274636).

The spelling of 11505124125 in words is "eleven billion, five hundred five million, one hundred twenty-four thousand, one hundred twenty-five".