11221420032 has 144 divisors (see below), whose sum is σ = 32497412220. Its totient is φ = 3730341888.

The previous prime is 11221420009. The next prime is 11221420039. The reversal of 11221420032 is 23002412211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11131094016 + 90326016 = 105504^2 + 9504^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 11221419987 and 11221420014.

It is not an unprimeable number, because it can be changed into a prime (11221420039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10266078 + ... + 10267170.

Almost surely, 2^11221420032 is an apocalyptic number.

11221420032 is a gapful number since it is divisible by the number (12) 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 11221420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248706110).

11221420032 is an abundant number, since it is smaller than the sum of its proper divisors (21275992188).

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

11221420032 is a wasteful number, since it uses less digits than its factorization.

11221420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1655 counting only the distinct ones).

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

Adding to 11221420032 its reverse (23002412211), we get a palindrome (34223832243).

The spelling of 11221420032 in words is "eleven billion, two hundred twenty-one million, four hundred twenty thousand, thirty-two".