12033120102210 has 96 divisors (see below), whose sum is σ = 31545402585840. Its totient is φ = 3182342252544.

The previous prime is 12033120102209. The next prime is 12033120102221. The reversal of 12033120102210 is 1220102133021.

12033120102210 is a `hidden beast` number, since 1 + 2 + 0 + 331 + 20 + 102 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7484825977281 + 4548294124929 = 2735841^2 + 2132673^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4465326 + ... + 6633654.

Almost surely, 2^{12033120102210} is an apocalyptic number.

12033120102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033120102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772701292920).

12033120102210 is an abundant number, since it is smaller than the sum of its proper divisors (19512282483630).

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

12033120102210 is a wasteful number, since it uses less digits than its factorization.

12033120102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168852 (or 2168849 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12033120102210 its reverse (1220102133021), we get a palindrome (13253222235231).

The spelling of 12033120102210 in words is "twelve trillion, thirty-three billion, one hundred twenty million, one hundred two thousand, two hundred ten".