11307223125 has 180 divisors, whose sum is σ = 23090967900. Its totient is φ = 5322240000.

The previous prime is 11307223099. The next prime is 11307223129. The reversal of 11307223125 is 52132270311.

11307223125 is a `hidden beast` number, since 11 + 307 + 223 + 125 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 5656092849 + 5651130276 = 75207^2 + 75174^2 .

It is not a de Polignac number, because 11307223125 - 2¹⁴ = 11307206741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11307223129) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 25182901 + ... + 25183349.

It is an arithmetic number, because the mean of its divisors is an integer number (128283155).

Almost surely, 2^11307223125 is an apocalyptic number.

11307223125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11307223125 is an abundant number, since it is smaller than the sum of its proper divisors (11783744775).

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

11307223125 is a wasteful number, since it uses less digits than its factorization.

11307223125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 11307223125 its reverse (52132270311), we get a palindrome (63439493436).

It can be divided in two parts, 11307 and 223125, that added together give a palindrome (234432).

The spelling of 11307223125 in words is "eleven billion, three hundred seven million, two hundred twenty-three thousand, one hundred twenty-five".