2211221003120 has 40 divisors (see below), whose sum is σ = 5206165920960. Its totient is φ = 873292343040.

The previous prime is 2211221003113. The next prime is 2211221003177. The reversal of 2211221003120 is 213001221122.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174932051 + ... + 174944690.

It is an arithmetic number, because the mean of its divisors is an integer number (130154148024).

Almost surely, 2^{2211221003120} is an apocalyptic number.

2211221003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211221003120 is an abundant number, since it is smaller than the sum of its proper divisors (2994944917840).

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

2211221003120 is a wasteful number, since it uses less digits than its factorization.

2211221003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349876833 (or 349876827 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2211221003120 its reverse (213001221122), we get a palindrome (2424222224242).

The spelling of 2211221003120 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, three thousand, one hundred twenty".