2211210120 has 128 divisors (see below), whose sum is σ = 7980364800. Its totient is φ = 478814976.

The previous prime is 2211210119. The next prime is 2211210121. The reversal of 2211210120 is 210121122.

It is an interprime number because it is at equal distance from previous prime (2211210119) and next prime (2211210121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2211210096 and 2211210105.

It is not an unprimeable number, because it can be changed into a prime (2211210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53314 + ... + 85233.

It is an arithmetic number, because the mean of its divisors is an integer number (62346600).

Almost surely, 2^2211210120 is an apocalyptic number.

2211210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211210120 is an abundant number, since it is smaller than the sum of its proper divisors (5769154680).

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

2211210120 is a wasteful number, since it uses less digits than its factorization.

2211210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138587 (or 138583 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2211210120 is about 47023.5060368748. The cubic root of 2211210120 is about 1302.7967638581.

Adding to 2211210120 its reverse (210121122), we get a palindrome (2421331242).

The spelling of 2211210120 in words is "two billion, two hundred eleven million, two hundred ten thousand, one hundred twenty".