2201122001120 has 384 divisors, whose sum is σ = 6222375936000. Its totient is φ = 719970508800.

The previous prime is 2201122001119. The next prime is 2201122001129. The reversal of 2201122001120 is 211002211022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2201122001095 and 2201122001104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201122001129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719084390 + ... + 719087450.

It is an arithmetic number, because the mean of its divisors is an integer number (16204104000).

Almost surely, 2^{2201122001120} is an apocalyptic number.

2201122001120 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 2201122001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111187968000).

2201122001120 is an abundant number, since it is smaller than the sum of its proper divisors (4021253934880).

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

2201122001120 is a wasteful number, since it uses less digits than its factorization.

2201122001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2201122001120 its reverse (211002211022), we get a palindrome (2412124212142).

The spelling of 2201122001120 in words is "two trillion, two hundred one billion, one hundred twenty-two million, one thousand, one hundred twenty".