12202110212000 has 192 divisors, whose sum is σ = 30057134758560. Its totient is φ = 4868398080000.

The previous prime is 12202110211943. The next prime is 12202110212009. The reversal of 12202110212000 is 21201120221.

It can be written as a sum of positive squares in 16 ways, for example, as 295166197264 + 11906944014736 = 543292^2 + 3450644^2 .

It is not an unprimeable number, because it can be changed into a prime (12202110212009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5377746866 + ... + 5377749134.

Almost surely, 2^{12202110212000} is an apocalyptic number.

12202110212000 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 12202110212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028567379280).

12202110212000 is an abundant number, since it is smaller than the sum of its proper divisors (17855024546560).

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

12202110212000 is a wasteful number, since it uses less digits than its factorization.

12202110212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5114 counting only the distinct ones).

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

Adding to 12202110212000 its reverse (21201120221), we get a palindrome (12223311332221).

The spelling of 12202110212000 in words is "twelve trillion, two hundred two billion, one hundred ten million, two hundred twelve thousand".