12220222134000 has 640 divisors, whose sum is σ = 42904682496000. Its totient is φ = 2980976256000.

The previous prime is 12220222133993. The next prime is 12220222134007. The reversal of 12220222134000 is 43122202221.

It is an interprime number because it is at equal distance from previous prime (12220222133993) and next prime (12220222134007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220222134007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1692782391 + ... + 1692789609.

It is an arithmetic number, because the mean of its divisors is an integer number (67038566400).

Almost surely, 2^{12220222134000} is an apocalyptic number.

12220222134000 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 12220222134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21452341248000).

12220222134000 is an abundant number, since it is smaller than the sum of its proper divisors (30684460362000).

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

12220222134000 is a wasteful number, since it uses less digits than its factorization.

12220222134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12220222134000 its reverse (43122202221), we get a palindrome (12263344336221).

The spelling of 12220222134000 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two million, one hundred thirty-four thousand".