12202120111120 has 80 divisors (see below), whose sum is σ = 28839633417648. Its totient is φ = 4800064389120.

The previous prime is 12202120111091. The next prime is 12202120111127. The reversal of 12202120111120 is 2111102120221.

It can be written as a sum of positive squares in 8 ways, for example, as 5736044160016 + 6466075951104 = 2395004^2 + 2542848^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12202120111120² (a number of 27 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 = 12202120111094 and 12202120111103.

It is not an unprimeable number, because it can be changed into a prime (12202120111127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30727272 + ... + 31121848.

Almost surely, 2^{12202120111120} is an apocalyptic number.

12202120111120 is a gapful number since it is divisible by the number (10) 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 12202120111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419816708824).

12202120111120 is an abundant number, since it is smaller than the sum of its proper divisors (16637513306528).

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

12202120111120 is a wasteful number, since it uses less digits than its factorization.

12202120111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400988 (or 400982 counting only the distinct ones).

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

Adding to 12202120111120 its reverse (2111102120221), we get a palindrome (14313222231341).

The spelling of 12202120111120 in words is "twelve trillion, two hundred two billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty".