12202211010000 has 1200 divisors, whose sum is σ = 44936491469760. Its totient is φ = 2828390400000.

The previous prime is 12202211009981. The next prime is 12202211010007. The reversal of 12202211010000 is 1011220221.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202211010007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34567169824 + ... + 34567170176.

Almost surely, 2^{12202211010000} is an apocalyptic number.

12202211010000 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 12202211010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22468245734880).

12202211010000 is an abundant number, since it is smaller than the sum of its proper divisors (32734280459760).

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

12202211010000 is a wasteful number, since it uses less digits than its factorization.

12202211010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12202211010000 its reverse (1011220221), we get a palindrome (12203222230221).

The spelling of 12202211010000 in words is "twelve trillion, two hundred two billion, two hundred eleven million, ten thousand".