2210213121120 has 288 divisors, whose sum is σ = 7844267733120. Its totient is φ = 566200627200.

The previous prime is 2210213121107. The next prime is 2210213121131. The reversal of 2210213121120 is 211213120122.

2210213121120 is a `hidden beast` number, since 2 + 210 + 21 + 312 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2210213121093 and 2210213121102.

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 47 ways as a sum of consecutive naturals, for example, 3946570 + ... + 4471670.

It is an arithmetic number, because the mean of its divisors is an integer number (27237040740).

Almost surely, 2^{2210213121120} is an apocalyptic number.

2210213121120 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 2210213121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922133866560).

2210213121120 is an abundant number, since it is smaller than the sum of its proper divisors (5634054612000).

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

2210213121120 is a wasteful number, since it uses less digits than its factorization.

2210213121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525238 (or 525227 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2210213121120 its reverse (211213120122), we get a palindrome (2421426241242).

The spelling of 2210213121120 in words is "two trillion, two hundred ten billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".