11301220224 has 128 divisors (see below), whose sum is σ = 38119276800. Its totient is φ = 3228913152.

The previous prime is 11301220213. The next prime is 11301220241. The reversal of 11301220224 is 42202210311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11301220224² (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 = 11301220197 and 11301220206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209382 + ... + 257765.

It is an arithmetic number, because the mean of its divisors is an integer number (297806850).

Almost surely, 2^11301220224 is an apocalyptic number.

11301220224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11301220224 is an abundant number, since it is smaller than the sum of its proper divisors (26818056576).

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

11301220224 is an equidigital number, since it uses as much as digits as its factorization.

11301220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467177 (or 467159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11301220224 its reverse (42202210311), we get a palindrome (53503430535).

The spelling of 11301220224 in words is "eleven billion, three hundred one million, two hundred twenty thousand, two hundred twenty-four".