11300233122 has 96 divisors (see below), whose sum is σ = 26116337520. Its totient is φ = 3525949440.

The previous prime is 11300233111. The next prime is 11300233127. The reversal of 11300233122 is 22133200311.

11300233122 is a `hidden beast` number, since 11 + 300 + 2 + 331 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3906125001 + 7394108121 = 62499^2 + 85989^2 .

It is a super-2 number, since 2×11300233122² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11300233095 and 11300233104.

It is not an unprimeable number, because it can be changed into a prime (11300233127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1990504 + ... + 1996172.

Almost surely, 2^11300233122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300233122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13058168760).

11300233122 is an abundant number, since it is smaller than the sum of its proper divisors (14816104398).

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

11300233122 is a wasteful number, since it uses less digits than its factorization.

11300233122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11300233122 its reverse (22133200311), we get a palindrome (33433433433).

The spelling of 11300233122 in words is "eleven billion, three hundred million, two hundred thirty-three thousand, one hundred twenty-two".