2212321211120 has 160 divisors (see below), whose sum is σ = 5516432640000. Its totient is φ = 822602511360.

The previous prime is 2212321211011. The next prime is 2212321211159. The reversal of 2212321211120 is 211121232122.

It is a super-2 number, since 2×2212321211120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2212321211092 and 2212321211101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48494081 + ... + 48539679.

It is an arithmetic number, because the mean of its divisors is an integer number (34477704000).

Almost surely, 2^{2212321211120} is an apocalyptic number.

2212321211120 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 2212321211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758216320000).

2212321211120 is an abundant number, since it is smaller than the sum of its proper divisors (3304111428880).

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

2212321211120 is a wasteful number, since it uses less digits than its factorization.

2212321211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46231 (or 46225 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2212321211120 its reverse (211121232122), we get a palindrome (2423442443242).

The spelling of 2212321211120 in words is "two trillion, two hundred twelve billion, three hundred twenty-one million, two hundred eleven thousand, one hundred twenty".