2201122111120 has 40 divisors (see below), whose sum is σ = 5118231735864. Its totient is φ = 880341691392.

The previous prime is 2201122111103. The next prime is 2201122111127. The reversal of 2201122111120 is 211112211022.

It can be written as a sum of positive squares in 4 ways, for example, as 383468085504 + 1817654025616 = 619248^2 + 1348204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2201122111120² (a number of 25 digits) contains 22 as substring.

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 = 2201122111094 and 2201122111103.

It is not an unprimeable number, because it can be changed into a prime (2201122111127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1011189 + ... + 2329108.

Almost surely, 2^{2201122111120} is an apocalyptic number.

2201122111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201122111120 is an abundant number, since it is smaller than the sum of its proper divisors (2917109624744).

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

2201122111120 is a wasteful number, since it uses less digits than its factorization.

2201122111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348547 (or 3348541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2201122111120 its reverse (211112211022), we get a palindrome (2412234322142).

The spelling of 2201122111120 in words is "two trillion, two hundred one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".