2211222201120 has 288 divisors, whose sum is σ = 7902761630400. Its totient is φ = 583820006400.

The previous prime is 2211222201103. The next prime is 2211222201121. The reversal of 2211222201120 is 211022221122.

It is a happy number.

2211222201120 is a `hidden beast` number, since 221 + 1 + 222 + 201 + 1 + 20 = 666.

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

It is a super-3 number, since 3×2211222201120³ (a number of 38 digits) contains 333 as substring.

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 = 2211222201093 and 2211222201102.

It is not an unprimeable number, because it can be changed into a prime (2211222201121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3645331 + ... + 4208429.

It is an arithmetic number, because the mean of its divisors is an integer number (27440144550).

Almost surely, 2^{2211222201120} is an apocalyptic number.

2211222201120 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 2211222201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951380815200).

2211222201120 is an abundant number, since it is smaller than the sum of its proper divisors (5691539429280).

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

2211222201120 is a wasteful number, since it uses less digits than its factorization.

2211222201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563230 (or 563210 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2211222201120 its reverse (211022221122), we get a palindrome (2422244422242).

It can be divided in two parts, 221122 and 2201120, that added together give a palindrome (2422242).

The spelling of 2211222201120 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty".