12220233212133 has 10 divisors (see below), whose sum is σ = 18254916279974. Its totient is φ = 8146822141368.

The previous prime is 12220233212123. The next prime is 12220233212219. The reversal of 12220233212133 is 33121233202221.

12220233212133 is a `hidden beast` number, since 1 + 2 + 2 + 202 + 3 + 321 + 2 + 133 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12170064827844 + 50168384289 = 3488562^2 + 223983^2 .

It is not a de Polignac number, because 12220233212133 - 2⁶ = 12220233212069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220233212097 and 12220233212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220233212123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 75433538266 + ... + 75433538427.

Almost surely, 2^{12220233212133} is an apocalyptic number.

It is an amenable number.

12220233212133 is a deficient number, since it is larger than the sum of its proper divisors (6034683067841).

12220233212133 is an equidigital number, since it uses as much as digits as its factorization.

12220233212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150867076705 (or 150867076696 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12220233212133 its reverse (33121233202221), we get a palindrome (45341466414354).

The spelling of 12220233212133 in words is "twelve trillion, two hundred twenty billion, two hundred thirty-three million, two hundred twelve thousand, one hundred thirty-three".