2212120003120 has 40 divisors (see below), whose sum is σ = 5146733650464. Its totient is φ = 884236449792.

The previous prime is 2212120003099. The next prime is 2212120003123. The reversal of 2212120003120 is 213000212122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2212120003094 and 2212120003103.

It is not an unprimeable number, because it can be changed into a prime (2212120003123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9439009 + ... + 9670528.

Almost surely, 2^{2212120003120} is an apocalyptic number.

2212120003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212120003120 is an abundant number, since it is smaller than the sum of its proper divisors (2934613647344).

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

2212120003120 is a wasteful number, since it uses less digits than its factorization.

2212120003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19110997 (or 19110991 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2212120003120 its reverse (213000212122), we get a palindrome (2425120215242).

The spelling of 2212120003120 in words is "two trillion, two hundred twelve billion, one hundred twenty million, three thousand, one hundred twenty".