2214314222120 has 512 divisors, whose sum is σ = 6785275392000. Its totient is φ = 627999989760.

The previous prime is 2214314222111. The next prime is 2214314222123. The reversal of 2214314222120 is 212224134122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2214314222120.

It is not an unprimeable number, because it can be changed into a prime (2214314222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1493130899 + ... + 1493132381.

It is an arithmetic number, because the mean of its divisors is an integer number (13252491000).

Almost surely, 2^{2214314222120} is an apocalyptic number.

2214314222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214314222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392637696000).

2214314222120 is an abundant number, since it is smaller than the sum of its proper divisors (4570961169880).

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

2214314222120 is a wasteful number, since it uses less digits than its factorization.

2214314222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2214314222120 its reverse (212224134122), we get a palindrome (2426538356242).

The spelling of 2214314222120 in words is "two trillion, two hundred fourteen billion, three hundred fourteen million, two hundred twenty-two thousand, one hundred twenty".