12202211201000 has 128 divisors (see below), whose sum is σ = 29075896512000. Its totient is φ = 4791751200000.

The previous prime is 12202211200997. The next prime is 12202211201051. The reversal of 12202211201000 is 10211220221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44171306 + ... + 44446694.

It is an arithmetic number, because the mean of its divisors is an integer number (227155441500).

Almost surely, 2^{12202211201000} is an apocalyptic number.

12202211201000 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 12202211201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14537948256000).

12202211201000 is an abundant number, since it is smaller than the sum of its proper divisors (16873685311000).

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

12202211201000 is a wasteful number, since it uses less digits than its factorization.

12202211201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276220 (or 276206 counting only the distinct ones).

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

Adding to 12202211201000 its reverse (10211220221), we get a palindrome (12212422421221).

The spelling of 12202211201000 in words is "twelve trillion, two hundred two billion, two hundred eleven million, two hundred one thousand".