12202112101120 has 72 divisors (see below), whose sum is σ = 29273470914240. Its totient is φ = 4873230090240.

The previous prime is 12202112101117. The next prime is 12202112101181. The reversal of 12202112101120 is 2110121120221.

It is a super-2 number, since 2×12202112101120² (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 = 12202112101094 and 12202112101103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6615480 + ... + 8256439.

It is an arithmetic number, because the mean of its divisors is an integer number (406575984920).

Almost surely, 2^{12202112101120} is an apocalyptic number.

12202112101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202112101120 is an abundant number, since it is smaller than the sum of its proper divisors (17071358813120).

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

12202112101120 is an equidigital number, since it uses as much as digits as its factorization.

12202112101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14872581 (or 14872567 counting only the distinct ones).

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

Adding to 12202112101120 its reverse (2110121120221), we get a palindrome (14312233221341).

The spelling of 12202112101120 in words is "twelve trillion, two hundred two billion, one hundred twelve million, one hundred one thousand, one hundred twenty".