12202002121120 has 96 divisors (see below), whose sum is σ = 32959680969600. Its totient is φ = 4181730855936.

The previous prime is 12202002121103. The next prime is 12202002121139. The reversal of 12202002121120 is 2112120020221.

It is a happy number.

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 = 12202002121094 and 12202002121103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226911 + ... + 4945249.

It is an arithmetic number, because the mean of its divisors is an integer number (343330010100).

Almost surely, 2^{12202002121120} is an apocalyptic number.

12202002121120 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 12202002121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479840484800).

12202002121120 is an abundant number, since it is smaller than the sum of its proper divisors (20757678848480).

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

12202002121120 is a wasteful number, since it uses less digits than its factorization.

12202002121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720670 (or 4720662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12202002121120 its reverse (2112120020221), we get a palindrome (14314122141341).

The spelling of 12202002121120 in words is "twelve trillion, two hundred two billion, two million, one hundred twenty-one thousand, one hundred twenty".