2211002221120 has 448 divisors, whose sum is σ = 6750873870336. Its totient is φ = 669779435520.

The previous prime is 2211002221003. The next prime is 2211002221133. The reversal of 2211002221120 is 211222001122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2211002221094 and 2211002221103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139725529 + ... + 139741351.

Almost surely, 2^{2211002221120} is an apocalyptic number.

2211002221120 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 2211002221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375436935168).

2211002221120 is an abundant number, since it is smaller than the sum of its proper divisors (4539871649216).

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

2211002221120 is a wasteful number, since it uses less digits than its factorization.

2211002221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16018 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2211002221120 its reverse (211222001122), we get a palindrome (2422224222242).

The spelling of 2211002221120 in words is "two trillion, two hundred eleven billion, two million, two hundred twenty-one thousand, one hundred twenty".