2210212230120 has 384 divisors, whose sum is σ = 7707804998400. Its totient is φ = 547629465600.

The previous prime is 2210212230077. The next prime is 2210212230131. The reversal of 2210212230120 is 210322120122.

2210212230120 is a `hidden beast` number, since 2 + 210 + 212 + 230 + 12 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2210212230093 and 2210212230102.

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 95 ways as a sum of consecutive naturals, for example, 93716730 + ... + 93740310.

It is an arithmetic number, because the mean of its divisors is an integer number (20072408850).

Almost surely, 2^{2210212230120} is an apocalyptic number.

2210212230120 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 2210212230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853902499200).

2210212230120 is an abundant number, since it is smaller than the sum of its proper divisors (5497592768280).

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

2210212230120 is a wasteful number, since it uses less digits than its factorization.

2210212230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23881 (or 23874 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2210212230120 its reverse (210322120122), we get a palindrome (2420534350242).

The spelling of 2210212230120 in words is "two trillion, two hundred ten billion, two hundred twelve million, two hundred thirty thousand, one hundred twenty".