12210011133320 has 288 divisors, whose sum is σ = 37829309779800. Its totient is φ = 3512969349120.

The previous prime is 12210011133253. The next prime is 12210011133329. The reversal of 12210011133320 is 2333111001221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10382199068164 + 1827812065156 = 3222142^2 + 1351966^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12210011133292 and 12210011133301.

It is not an unprimeable number, because it can be changed into a prime (12210011133329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1102916 + ... + 5063244.

Almost surely, 2^{12210011133320} is an apocalyptic number.

12210011133320 is a gapful number since it is divisible by the number (10) 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 12210011133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18914654889900).

12210011133320 is an abundant number, since it is smaller than the sum of its proper divisors (25619298646480).

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

12210011133320 is a wasteful number, since it uses less digits than its factorization.

12210011133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960389 (or 3960367 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12210011133320 its reverse (2333111001221), we get a palindrome (14543122134541).

The spelling of 12210011133320 in words is "twelve trillion, two hundred ten billion, eleven million, one hundred thirty-three thousand, three hundred twenty".